UrbanPro
Login Ask & Answer Success Stories Paid Courses Free Classes Tuition & Classes Fees Write a Review All Categories Help Center
Post your Learning Need Signup as a Tutor
✕

Popular Cities

Bangalore

Hyderabad

Delhi

Mumbai

Chennai

Pune

Kolkata

Gurgaon

Ahmedabad

Jaipur

Noida

✕
true

Overview

Enthusiastic about applying a passion for working with children that includes solid knowledge acquired from relevant courses.
â?¢Committed to helping children reach their full potential by fostering a supportive learning environment.
â?¢A passion about the teaching field with a great teaching aptitude
â?¢Excellent ability to reach to the target students knowledge grasping level and implement.
â?¢Appropriate teaching methods and techniques. Thorough knowledge of the subject to be taught and its background.
â?¢Fluency in English,Marathi and Hindi.
â?¢Knowledge of utilizing all the modern teaching aids appropriately and effectively.
â?¢Uncommon ability to create quick interests among the students about the subject.
â?¢Knowledge of common student's psychology and high concern regarding the problems they face in the learning process.
â?¢Follows high standard of personal and work ethics.
â?¢Friendly, approachable and hardworking individual with exceptional interest in providing tutoring services to assist students in comprehending topic related concepts.
â?¢Patient and pleasant, with a demonstrated ability in communicating with people from different backgrounds.
Special talent for:
â?¢ Recognizing variations in student backgrounds, abilities and learning styles.
â?¢ Interacting with students in a friendly and respectful manner, aiming to comprehend their specific learning abilities and limitations.
â?¢Explaining concepts in easy to understand ways without overwhelming students

Languages Spoken

English

Marathi

Hindi

Education

Sydenham college of commerce and economics Pursuing

Bachelor of Banking and Insurance

Address

Taloja Phase 1, Mumbai, India - 410208

Verified Info

ID Verified

Phone Verified

Email Verified

Report this Profile

✕
x

Is this listing inaccurate or duplicate? Any other problem?

Please tell us about the problem and we will fix it.

Please describe the problem that you see in this page.

Type the letters as shown below *

Please enter the letters as show below

Teaches

Class 6 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 6 Tuition

2

Board

CBSE, ICSE, State

CBSE Subjects taught

Science, EVS, Social Science, Mathematics, Marathi, English, Hindi, Sanskrit

ICSE Subjects taught

Geography, Hindi, Mathematics, Physics, EVS, Marathi, English, History, Sanskrit, Chemistry, Biology

Taught in School or College

No

State Syllabus Subjects taught

Mathematics, Science, Marathi, Sanskrit, EVS, English, Social science, Hindi

Class 7 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 7 Tuition

2

Board

CBSE, ICSE, State

CBSE Subjects taught

Science, EVS, Social Science, Mathematics, Marathi, English, Hindi, Sanskrit

ICSE Subjects taught

Geography, Hindi, Mathematics, Physics, EVS, Marathi, English, History, Sanskrit, Chemistry, Biology

Taught in School or College

No

State Syllabus Subjects taught

Mathematics, Science, Marathi, Sanskrit, EVS, English, Social science, Hindi

Class 8 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 8 Tuition

2

Board

CBSE, ICSE, State

CBSE Subjects taught

Science, EVS, Social Science, Mathematics, Marathi, English, Hindi, Sanskrit

ICSE Subjects taught

Geography, Hindi, Mathematics, Physics, EVS, Marathi, English, History, Sanskrit, Chemistry, Biology

Taught in School or College

No

State Syllabus Subjects taught

Mathematics, Science, Marathi, Sanskrit, EVS, English, Social science, Hindi

Class 9 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 9 Tuition

2

Board

CBSE, State, ICSE

CBSE Subjects taught

Accountancy, Elements of business, Social science, English, Marathi, Hindi, Sanskrit, Mathematics, Science, Information and Comunication Technology

ICSE Subjects taught

Physics, Chemistry, Hindi, English, Mathematics, EVS, Geography, Biology, Economic Application, History and Civics

Taught in School or College

No

State Syllabus Subjects taught

Hindi, Science, EVS, Marathi, Social Science, Mathematics, English, Sanskrit

Class 10 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 10 Tuition

2

Board

CBSE, State, ICSE

CBSE Subjects taught

Accountancy, Elements of business, Social science, English, Marathi, Hindi, Sanskrit, Mathematics, Science, Information and Comunication Technology

ICSE Subjects taught

Physics, Chemistry, Hindi, English, Mathematics, EVS, Geography, Biology, Economic Application, History and Civics

Taught in School or College

No

State Syllabus Subjects taught

Hindi, Science, EVS, Marathi, Social Science, Mathematics, English, Sanskrit

Class I-V Tuition
1 Student

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class I-V Tuition

11

Board

ICSE, CBSE, State

State boards taught

Maharashtra State Board

CBSE Subjects taught

Hindi, Computers, Marathi, Mathematics, Science, English, EVS

ICSE Subjects taught

EVS, English, Social Studies, Mathematics, Science, Hindi, Marathi

Experience in School or College

1year experience in MOONSTAR GLOBAL SCHOOL.i taught Marathi and Hindi there

Taught in School or College

Yes

State Syllabus Subjects taught

Hindi, Marathi, English, EVS, Mathematics, Science, Social Science

Nursery-KG Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Nursery-KG Tuition

2

Subject

Mathematics, English, Drawing, EVS

Taught in School or College

No

BCom Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in BCom Tuition

2

BCom Subject

Investment Analysis, Portfolio Management & Wealth Management, Retail Management, Financial Analysis and Reporting, Business Laws, Organisational Behaviour, Banking and Insurance, Financial Management, Stock and Commodity Markets, Management Accounting, Financial Markets and Institutions, International Banking & Forex Management, International Business, Company Law, Human Resource Management, Office Management and Secretarial Practice, Business Organisation and Management, Event Management, Public relations and Corporate Communication, Business Ethics, Cost Accounting, Personal Selling and Salesmanship, Auditing and Corporate Governance, Information Technology and Audit, Banking Technology and Management, Financial Accounting, Advertising, Marketing, E-Commerce, Accounting Information Systems, Business Communication, Business Mathematics and Statistics, Business Taxation, Risk Management, Micro & Macro Economics, Banking Law and Operation, Corporate Accounting, International Finance

Type of class

Crash Course, Regular Classes

Business Communication Language

Hindi, English

Class strength catered to

Group Classes

Taught in School or College

No

Class 12 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 12 Tuition

2

Board

State, CBSE

CBSE Subjects taught

English, Economics, Hindi, Mathematics, Accountancy

Taught in School or College

No

State Syllabus Subjects taught

Economics, Business Studies, English, Marathi, Statistics, Mathematics, Hindi, Organisation of Commerce, Secretarial Practices , Accountancy

Class 11 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 11 Tuition

2

Board

State, CBSE

CBSE Subjects taught

English, Economics, Hindi, Mathematics, Accountancy

Taught in School or College

No

State Syllabus Subjects taught

Business Studies, English, Education, Marathi, Statistics, Mathematics, Hindi, Organisation of Commerce, Secretarial Practices , Accountancy

Reviews

No Reviews yet!

FAQs

1. Which school boards of Class 8 do you teach for?

CBSE, ICSE, State

2. Have you ever taught in any School or College?

No

3. Which classes do you teach?

I teach BCom Tuition, Class 10 Tuition, Class 11 Tuition, Class 12 Tuition, Class 6 Tuition, Class 7 Tuition, Class 8 Tuition, Class 9 Tuition, Class I-V Tuition and Nursery-KG Tuition Classes.

4. Do you provide a demo class?

Yes, I provide a paid demo class.

5. How many years of experience do you have?

I have been teaching for 2 years.

Contact

Answers by Ashwini R. (8)

Answered on 11/12/2021 Learn CBSE/Class 10/Mathematics +2 CBSE/Class 1/Maths CBSE/Class 9/Mathematics

What's the 'I love you' math problem?

Is this what you are looking for? i <3 u <3 means heart. So it is read as I love you. This relation can be brought down by simple algebra like, say, i+5 < 3u+5 => i<3u The famous style is this, Solve for i, 9x- 7i < 3 (3x -7u) = 9x - 7i < 9x - 21u = -7i < -21u... ...more

Is this what you are looking for?

i <3 u

 

<3 means heart. So it is read as I love you.

 

This relation can be brought down by simple algebra like,

say, i+5 < 3u+5 => i<3u

The famous style is this,

 

Solve for i,

9x- 7i < 3 (3x -7u)

= 9x - 7i < 9x - 21u

= -7i < -21u (cancel out the 9x)

simplified: i <3 u !

therefore: I love you

Answers 2 Comments
Dislike Bookmark

Answered on 11/12/2021 Learn CBSE/Class 10/Mathematics +2 CBSE/Class 1/Maths CBSE/Class 9/Mathematics

How do geniuses study math?

elekinetically. Jokes aside, I know a people who are excellent at Math and some can definitely be classified as genius. What they do is understand the concept rather than learn how to simply answer the question. This way you’d be surprised that they will figure out extensions of that math question... ...more

elekinetically. Jokes aside, I know a people who are excellent at Math and some can definitely be classified as genius. What they do is understand the concept rather than learn how to simply answer the question.

 

This way you’d be surprised that they will figure out extensions of that math question without even properly studying it. The reason is that their concept is so strong and when they link that with their already capable logic the result is a quick and thorough understanding of the topic.

Answers 5 Comments
Dislike Bookmark

Answered on 11/12/2021 Learn CBSE/Class 10/Mathematics +2 CBSE/Class 1/Maths CBSE/Class 9/Mathematics

Why do we have to estimate for every math problem?

When we estimate, we find an answer that is close to, but not exactly, the accurate answer for a problem.
Answers 5 Comments
Dislike Bookmark

Answered on 11/12/2021 Learn CBSE/Class 10/Mathematics +2 CBSE/Class 1/Maths CBSE/Class 9/Mathematics

What is a solution to the problem x^3 + ln(x+1) =8?

The function f(x)=x3+ln(x+1) is defined over (−1,∞) . The limit at −1 is −∞ , the limit at ∞ is ∞ . The derivative is f′(x)=3x2+1x+1>0 so you know that the function is strictly increasing. Therefore the given equation has a single solution.... ...more

The function f(x)=x3+ln(x+1) is defined over (−1,∞) . The limit at −1 is −∞ , the limit at ∞ is ∞ . The derivative is

 

f′(x)=3x2+1x+1>0 

 

so you know that the function is strictly increasing. Therefore the given equation has a single solution. Since f(2)>8 and f(1)<8 , the solution is inside the interval (1,2) .

 

You can determine an approximation with the desired accuracy with numerical methods.

Answers 1 Comments
Dislike Bookmark

Answered on 11/12/2021 Learn CBSE/Class 10/Mathematics +1 CBSE/Class 9/Mathematics

How can I prove that if y=(x^n)logx, then yn+1=n!/x?

I assume that, by ‘yn+1’, you mean the (n+1)th derivative of y with respect to x - this is often written (with the parentheses) as a superscript, e.g. y(n+1) In other words, you want to prove that: ddxn+1(xnln(x))=n!x I suggest that you edit the question to make your meaning... ...more

I assume that, by ‘yn+1’, you mean the (n+1)th derivative of y with respect to x - this is often written (with the parentheses) as a superscript, e.g.

 

y(n+1) 

 

In other words, you want to prove that:

 

ddxn+1(xnln(x))=n!x 

 

I suggest that you edit the question to make your meaning clearer as, from the two answers submitted before mine, they didn’t understand you.

 

 

 

This doesn’t really count as a proof, but I think its a way to demonstrate why this is true.

 

From the product rule for differentiation,

 

dydx=xnddxln(x)+ln(x)ddxxn 

 

=xnx+nxn−1ln(x)=xn−1+nxn−1ln(x) 

 

Having differentiated once, we still have to differentiate a further n times.

 

dn+1ydxn+1=dndxn(xn−1+nxn−1ln(x)) 

 

From the sum rule for differentiation, we can split this into two parts:

 

dndxnxn−1+ndndxnxn−1ln(x) 

 

Let’s look at the first part. When we differentiate an expression than contains a term that is a power of x, we reduce the power by 1. So, if we differentiate xb b times, we end up with a constant [ xb−b=x0 ], and if we differentiate again, we get a zero. In this case, we’re wanting to differentiate xn−1 n times, this means that the term eventually becomes zero. So, our problem simplifies to:

 

ndndxnxn−1ln(x)=ndn−1dxn−1(ddxxn−1ln(x)) 

 

Applying the product rule again:

 

=ndn−1dxn−1(xn−2+(n−1)xn−2ln(x)) 

 

Applying the sum rule again, the first term again reduces to zero with continued differentiation, so we are left with:

 

ndn−1dxn−1(n−1)xn−2ln(x) 

 

As (n−1) is a constant, we can move it outside the differentiation; I’ll also introduce the notation n[2]=n!(n−2)! 

 

So, we have:

 

n[2]dn−1dxn−1xn−2ln(x) 

 

Applying the product rule again:

 

n[2]dn−2dxn−2(xn−3+(n−2)xn−3ln(x)) 

 

Applying the sum rule again, the first term again reduces to zero with continued differentiation, so we are left with:

 

n[3]dn−2dxn−2xn−3ln(x) 

 

Continuing the pattern we get:

 

n[4]dn−3dxn−3xn−4ln(x) 

 

n[5]dn−4dxn−4xn−5ln(x) 

 

…

 

n[n−1]d2dx2x1ln(x) 

 

n[n]ddxln(x)=n[n]x 

 

As the coefficient is just n! , our answer is:

 

n!x 

 

 

Answers 2 Comments
Dislike Bookmark

Contact

View All

Teaches

Class 6 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 6 Tuition

2

Board

CBSE, ICSE, State

CBSE Subjects taught

Science, EVS, Social Science, Mathematics, Marathi, English, Hindi, Sanskrit

ICSE Subjects taught

Geography, Hindi, Mathematics, Physics, EVS, Marathi, English, History, Sanskrit, Chemistry, Biology

Taught in School or College

No

State Syllabus Subjects taught

Mathematics, Science, Marathi, Sanskrit, EVS, English, Social science, Hindi

Class 7 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 7 Tuition

2

Board

CBSE, ICSE, State

CBSE Subjects taught

Science, EVS, Social Science, Mathematics, Marathi, English, Hindi, Sanskrit

ICSE Subjects taught

Geography, Hindi, Mathematics, Physics, EVS, Marathi, English, History, Sanskrit, Chemistry, Biology

Taught in School or College

No

State Syllabus Subjects taught

Mathematics, Science, Marathi, Sanskrit, EVS, English, Social science, Hindi

Class 8 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 8 Tuition

2

Board

CBSE, ICSE, State

CBSE Subjects taught

Science, EVS, Social Science, Mathematics, Marathi, English, Hindi, Sanskrit

ICSE Subjects taught

Geography, Hindi, Mathematics, Physics, EVS, Marathi, English, History, Sanskrit, Chemistry, Biology

Taught in School or College

No

State Syllabus Subjects taught

Mathematics, Science, Marathi, Sanskrit, EVS, English, Social science, Hindi

Class 9 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 9 Tuition

2

Board

CBSE, State, ICSE

CBSE Subjects taught

Accountancy, Elements of business, Social science, English, Marathi, Hindi, Sanskrit, Mathematics, Science, Information and Comunication Technology

ICSE Subjects taught

Physics, Chemistry, Hindi, English, Mathematics, EVS, Geography, Biology, Economic Application, History and Civics

Taught in School or College

No

State Syllabus Subjects taught

Hindi, Science, EVS, Marathi, Social Science, Mathematics, English, Sanskrit

Class 10 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 10 Tuition

2

Board

CBSE, State, ICSE

CBSE Subjects taught

Accountancy, Elements of business, Social science, English, Marathi, Hindi, Sanskrit, Mathematics, Science, Information and Comunication Technology

ICSE Subjects taught

Physics, Chemistry, Hindi, English, Mathematics, EVS, Geography, Biology, Economic Application, History and Civics

Taught in School or College

No

State Syllabus Subjects taught

Hindi, Science, EVS, Marathi, Social Science, Mathematics, English, Sanskrit

Class I-V Tuition
1 Student

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class I-V Tuition

11

Board

ICSE, CBSE, State

State boards taught

Maharashtra State Board

CBSE Subjects taught

Hindi, Computers, Marathi, Mathematics, Science, English, EVS

ICSE Subjects taught

EVS, English, Social Studies, Mathematics, Science, Hindi, Marathi

Experience in School or College

1year experience in MOONSTAR GLOBAL SCHOOL.i taught Marathi and Hindi there

Taught in School or College

Yes

State Syllabus Subjects taught

Hindi, Marathi, English, EVS, Mathematics, Science, Social Science

Nursery-KG Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Nursery-KG Tuition

2

Subject

Mathematics, English, Drawing, EVS

Taught in School or College

No

BCom Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in BCom Tuition

2

BCom Subject

Investment Analysis, Portfolio Management & Wealth Management, Retail Management, Financial Analysis and Reporting, Business Laws, Organisational Behaviour, Banking and Insurance, Financial Management, Stock and Commodity Markets, Management Accounting, Financial Markets and Institutions, International Banking & Forex Management, International Business, Company Law, Human Resource Management, Office Management and Secretarial Practice, Business Organisation and Management, Event Management, Public relations and Corporate Communication, Business Ethics, Cost Accounting, Personal Selling and Salesmanship, Auditing and Corporate Governance, Information Technology and Audit, Banking Technology and Management, Financial Accounting, Advertising, Marketing, E-Commerce, Accounting Information Systems, Business Communication, Business Mathematics and Statistics, Business Taxation, Risk Management, Micro & Macro Economics, Banking Law and Operation, Corporate Accounting, International Finance

Type of class

Crash Course, Regular Classes

Business Communication Language

Hindi, English

Class strength catered to

Group Classes

Taught in School or College

No

Class 12 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 12 Tuition

2

Board

State, CBSE

CBSE Subjects taught

English, Economics, Hindi, Mathematics, Accountancy

Taught in School or College

No

State Syllabus Subjects taught

Economics, Business Studies, English, Marathi, Statistics, Mathematics, Hindi, Organisation of Commerce, Secretarial Practices , Accountancy

Class 11 Tuition

Class Location

Online (video chat via skype, google hangout etc)

Student's Home

Tutor's Home

Years of Experience in Class 11 Tuition

2

Board

State, CBSE

CBSE Subjects taught

English, Economics, Hindi, Mathematics, Accountancy

Taught in School or College

No

State Syllabus Subjects taught

Business Studies, English, Education, Marathi, Statistics, Mathematics, Hindi, Organisation of Commerce, Secretarial Practices , Accountancy

No Reviews yet!

Answers by Ashwini R. (8)

Answered on 11/12/2021 Learn CBSE/Class 10/Mathematics +2 CBSE/Class 1/Maths CBSE/Class 9/Mathematics

What's the 'I love you' math problem?

Is this what you are looking for? i <3 u <3 means heart. So it is read as I love you. This relation can be brought down by simple algebra like, say, i+5 < 3u+5 => i<3u The famous style is this, Solve for i, 9x- 7i < 3 (3x -7u) = 9x - 7i < 9x - 21u = -7i < -21u... ...more

Is this what you are looking for?

i <3 u

 

<3 means heart. So it is read as I love you.

 

This relation can be brought down by simple algebra like,

say, i+5 < 3u+5 => i<3u

The famous style is this,

 

Solve for i,

9x- 7i < 3 (3x -7u)

= 9x - 7i < 9x - 21u

= -7i < -21u (cancel out the 9x)

simplified: i <3 u !

therefore: I love you

Answers 2 Comments
Dislike Bookmark

Answered on 11/12/2021 Learn CBSE/Class 10/Mathematics +2 CBSE/Class 1/Maths CBSE/Class 9/Mathematics

How do geniuses study math?

elekinetically. Jokes aside, I know a people who are excellent at Math and some can definitely be classified as genius. What they do is understand the concept rather than learn how to simply answer the question. This way you’d be surprised that they will figure out extensions of that math question... ...more

elekinetically. Jokes aside, I know a people who are excellent at Math and some can definitely be classified as genius. What they do is understand the concept rather than learn how to simply answer the question.

 

This way you’d be surprised that they will figure out extensions of that math question without even properly studying it. The reason is that their concept is so strong and when they link that with their already capable logic the result is a quick and thorough understanding of the topic.

Answers 5 Comments
Dislike Bookmark

Answered on 11/12/2021 Learn CBSE/Class 10/Mathematics +2 CBSE/Class 1/Maths CBSE/Class 9/Mathematics

Why do we have to estimate for every math problem?

When we estimate, we find an answer that is close to, but not exactly, the accurate answer for a problem.
Answers 5 Comments
Dislike Bookmark

Answered on 11/12/2021 Learn CBSE/Class 10/Mathematics +2 CBSE/Class 1/Maths CBSE/Class 9/Mathematics

What is a solution to the problem x^3 + ln(x+1) =8?

The function f(x)=x3+ln(x+1) is defined over (−1,∞) . The limit at −1 is −∞ , the limit at ∞ is ∞ . The derivative is f′(x)=3x2+1x+1>0 so you know that the function is strictly increasing. Therefore the given equation has a single solution.... ...more

The function f(x)=x3+ln(x+1) is defined over (−1,∞) . The limit at −1 is −∞ , the limit at ∞ is ∞ . The derivative is

 

f′(x)=3x2+1x+1>0 

 

so you know that the function is strictly increasing. Therefore the given equation has a single solution. Since f(2)>8 and f(1)<8 , the solution is inside the interval (1,2) .

 

You can determine an approximation with the desired accuracy with numerical methods.

Answers 1 Comments
Dislike Bookmark

Answered on 11/12/2021 Learn CBSE/Class 10/Mathematics +1 CBSE/Class 9/Mathematics

How can I prove that if y=(x^n)logx, then yn+1=n!/x?

I assume that, by ‘yn+1’, you mean the (n+1)th derivative of y with respect to x - this is often written (with the parentheses) as a superscript, e.g. y(n+1) In other words, you want to prove that: ddxn+1(xnln(x))=n!x I suggest that you edit the question to make your meaning... ...more

I assume that, by ‘yn+1’, you mean the (n+1)th derivative of y with respect to x - this is often written (with the parentheses) as a superscript, e.g.

 

y(n+1) 

 

In other words, you want to prove that:

 

ddxn+1(xnln(x))=n!x 

 

I suggest that you edit the question to make your meaning clearer as, from the two answers submitted before mine, they didn’t understand you.

 

 

 

This doesn’t really count as a proof, but I think its a way to demonstrate why this is true.

 

From the product rule for differentiation,

 

dydx=xnddxln(x)+ln(x)ddxxn 

 

=xnx+nxn−1ln(x)=xn−1+nxn−1ln(x) 

 

Having differentiated once, we still have to differentiate a further n times.

 

dn+1ydxn+1=dndxn(xn−1+nxn−1ln(x)) 

 

From the sum rule for differentiation, we can split this into two parts:

 

dndxnxn−1+ndndxnxn−1ln(x) 

 

Let’s look at the first part. When we differentiate an expression than contains a term that is a power of x, we reduce the power by 1. So, if we differentiate xb b times, we end up with a constant [ xb−b=x0 ], and if we differentiate again, we get a zero. In this case, we’re wanting to differentiate xn−1 n times, this means that the term eventually becomes zero. So, our problem simplifies to:

 

ndndxnxn−1ln(x)=ndn−1dxn−1(ddxxn−1ln(x)) 

 

Applying the product rule again:

 

=ndn−1dxn−1(xn−2+(n−1)xn−2ln(x)) 

 

Applying the sum rule again, the first term again reduces to zero with continued differentiation, so we are left with:

 

ndn−1dxn−1(n−1)xn−2ln(x) 

 

As (n−1) is a constant, we can move it outside the differentiation; I’ll also introduce the notation n[2]=n!(n−2)! 

 

So, we have:

 

n[2]dn−1dxn−1xn−2ln(x) 

 

Applying the product rule again:

 

n[2]dn−2dxn−2(xn−3+(n−2)xn−3ln(x)) 

 

Applying the sum rule again, the first term again reduces to zero with continued differentiation, so we are left with:

 

n[3]dn−2dxn−2xn−3ln(x) 

 

Continuing the pattern we get:

 

n[4]dn−3dxn−3xn−4ln(x) 

 

n[5]dn−4dxn−4xn−5ln(x) 

 

…

 

n[n−1]d2dx2x1ln(x) 

 

n[n]ddxln(x)=n[n]x 

 

As the coefficient is just n! , our answer is:

 

n!x 

 

 

Answers 2 Comments
Dislike Bookmark

Contact

Load More

Ashwini R. describes herself as Ace Tutor. She conducts classes in BCom Tuition, Class 10 Tuition and Class 11 Tuition. Ashwini is located in Taloja Phase 1, Mumbai. Ashwini takes Regular Classes- at her Home. She has 11 years of teaching experience . Ashwini is pursuing Bachelor of Banking and Insurance from Sydenham college of commerce and economics. She is well versed in English, Marathi and Hindi.

X
X

Post your Learning Need

Let us shortlist and give the best tutors and institutes.

or

Send Enquiry to Ashwini R.

Let Ashwini R. know you are interested in their class

Reply to 's review

Enter your reply*

1500/1500

Please enter your reply

Your reply should contain a minimum of 10 characters

Your reply has been successfully submitted.

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more

ThinkVidya Learning Pvt Ltd © 2010-2024All Rights Reserved