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

✕

Take Class 10 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Book a Free Demo

Class 10 > Learn Class IX-X Tuition > What is the derivative of a^x. Try proving it.
✕

Search in

What is the derivative of a^x. Try proving it.

Asked by Last Modified  

10 Answers

Learn Class IX-X Tuition

Follow 0
Answer

Please enter your answer

math navigator

let us suppose y = a^x log(y) = x log(a) ; taking log on both sides y = e^(xlog(a)) ; dy/dx = log(a) * e^(xlog(a)) ; differentiating either sides dy/dx = log(a) * e^(log(a^x)) ; because alogb = log(b^a) dy/dx = log(a) * (a^x) ; because e^(log(b)) = b hence dy/dx = (a^x). log(a)
Comments
Dislike Bookmark

Mother Tongue Bengali

0
Comments
Dislike Bookmark

Math magacian

a^xloga
Comments
Dislike Bookmark

Tutor

Xa^x-1
Comments
Dislike Bookmark

ankit.mishra.bob@gmail.com

Take it equals to y and then take log both the sides then derivative it w.r.t. x then dy/dx=y.loga then put the value of y you have supposed and you will get the answer.
Comments
Dislike Bookmark

a(pow)xloga
Comments
Dislike Bookmark

Let y=a^x Taking log on both side lny=lna^x lny=xlna Differntiate on both side 1/ydy/dx=lna dy/dx=ylna Putt y=a^x dy/dx= a^xlna
Comments
Dislike Bookmark

Tutor

Let y=a^x,here a is a constant, then dy/dx= a^
Comments
Dislike Bookmark

Experties in mathmatics

y=a^x logy=xloga i/y dy/dx=loga dy/dx=yloga dy/dx=a^xloga
Comments
Dislike Bookmark

Maths Tutor

Let F(x)= a^x F(x+h) = a^(x+h) dy/dx = lim?(h-0)??(a^(x+h)- a^x)/h? = lim?(h-0)??(a^x (a^h-1))/h? = lim?(h-0)??a^x lim?(h-0)??(a^h-1)/h? ? = a^x log?a this is known as abinitio
Comments
Dislike Bookmark

View 8 more Answers

Related Questions

We charge less but our output is high, we have 100% passing percentage.Try demo at your home free?
You should give atleast one free opportunity....
Dwarkadelhitutor
0 0
8
What is the SI unit of displacement?
The SI unit of displacement is meter.
Ms
Name the quadrant where the sign (-, +)?
In the 2nd quadrant. Where X will be negative and Y will be positive.
K
Name the device which uses ultrasonic sound waves to measure the distance of an object ?
Ultrasonic transducers and transceivers
Kumar Upendra Akshay
0 0
9
why 0/0 is a indeterminate form ?
Division by zero is an operation for which you cannot find an answer, so it is disallowed. You can understand why if you think about how division and multiplication are related. 10 divided by 5 is...
Kumar Upendra Akshay

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

English: Prepositions
1. Prepositions: A preposition is defined as a word which is placed before a noun or pronoun. Prepositions gives us a relationship between the things. We normally use prepositions in front of nouns or...
A

Atharva

4 0
0
Acid, Base and Salts
The reaction of an acid with a base to produce only salt and water is called a neutralization reaction. Acids Acids are sour in taste. If hydronium ions are found in a solution, the solution is acidic...

Tejas Academy Centre

1 0
0
Muy o Muchos???
Hola! I will give you some tips that will help you to know when to use MUY and when to use MUCHO. WE USE MUCHO: VERB + mucho Mucho + sustantive / noun ...

Maria C.

2 0
0
Essay on Holi
Essay on Holi Holi is a time to reach out with the colors of joy. It is the time to love and forgive. It is the time expresses the happiness of being loved and to be loved through colors. Holi is not...

Sudhansu Bhushan Roy

0 0
0
How To Prepare For Any Exam?
1. Prepare mentally yourself to give an exam. 2. Know the benifit of passing the exam it encourages you to do your best. 3. Never think about failure. 4. Be confident. 5. Watch and solve old papers. 6....
M

Mohit S.

1 0
0

Recommended Articles

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Find Class 10 Tuition near you
Class 10 Tuition in Delhi
Class 10 Tuition in Bangalore
Class 10 Tuition in Hyderabad
Class 10 Tuition in Kolkata
Class 10 Tuition in Mumbai
Class 10 Tuition in Chennai
Class 10 Tuition in Pune
Class 10 Tuition in Noida
Class 10 Tuition in Lucknow
Class 10 Tuition in Jaipur
Online Tuition Class 10

Looking for Class 10 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class 10 Tuition Classes?

The best tutors for Class 10 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 10 Tuition with the Best Tutors

The best Tutors for Class 10 Tuition Classes are on UrbanPro

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 © 2010-2025All Rights Reserved