Find the approximate value of (17/81)^(1/4) using differentiation.

Asked by Last Modified  

23 Answers

Follow 3
Answer

Please enter your answer

question is will you evaluate (97/81)^(1/4) in the same manner?
Comments
Dislike Bookmark

question is will you evaluate (97/81)^(1/4) in the same manner?
Comments
Dislike Bookmark

Tutor

Let y = f(x) = x^(1/4) To find: Approximate value of f(17/81) using differentiation We know that, f (x + delta x) = f(x) + .....using first principle 1st degree approximation. Here 'delta x' is the increment in x. Let us choose x such that f(x) is a rational number. If, x = 16/81 f(16/81)...
read more
Let y = f(x) = x^(1/4) To find: Approximate value of f(17/81) using differentiation We know that, f (x + delta x) = f(x) + [f'(x)* (delta x)].....using first principle 1st degree approximation. Here 'delta x' is the increment in x. Let us choose x such that f(x) is a rational number. If, x = 16/81 f(16/81) = 2/3 Therefore, delta x = (17/81)-(16/81) = 1/81 And f'(x) = d(x^(1/4))/dx = (1/4)* [x^ (-3/4)] So, approx. f(17/81) = f(16/81) + [(1/4)* {(16/81)^(-3/4)}] * (1/81) = (2/3) + (1/4) * (27/8) * (1/81) = (2/3) + (1/96) = 65/96 = 0.677 This is the approx value of (17/81)^(1/4) read less
Comments
Dislike Bookmark

Question is will you evaluate (97/81)^(1/4) in the same manner?
Comments
Dislike Bookmark

question is will you evaluate (97/81)^(1/4) in the same manner
Comments
Dislike Bookmark

question is will you evaluate (97/81)^(1/4) in the same manner .
Comments
Dislike Bookmark

Best Institute For Competitive Exams

65/96 is the answer. (16/81)^(1/4) = 2/3 which is useful to check your answer
Comments
Dislike Bookmark

Best Institute For Competitive Exams

Let y = f (x) = x^(1/4). Now differentiate to find delta y in terms of delta x and then find y at the given point. Realise that (16/81)^(1/4) = 2/3. On solving you will get 65/96.
Comments
Dislike Bookmark

(17/81)^1/4 = (17)^1/4/(81)^1/4 =(17)^1/4/3 Let f(x)= x^1/4 f'(x)=1/4x^3/4 {f(x+∆x)-f(x)}= f'(x)*∆x {f(x+∆x)-f(x)}=1/4x^3/4*∆x Write 17=16+1 then put x=16 abd ∆x=1 {f(16+1)-f(16)}=1/4(16)^3/4*1 f(17)-f(16)=1/4*2^4 f(17)=1/32 + f(16) f(17) = 1/32 + (16)^1/4 f(17) = 0.03125 + 2 (17)^1/4 = 2.03125 Approximate...
read more
(17/81)^1/4 = (17)^1/4/(81)^1/4 =(17)^1/4/3 Let f(x)= x^1/4 f'(x)=1/4x^3/4 {f(x+∆x)-f(x)}= f'(x)*∆x {f(x+∆x)-f(x)}=1/4x^3/4*∆x Write 17=16+1 then put x=16 abd ∆x=1 {f(16+1)-f(16)}=1/4(16)^3/4*1 f(17)-f(16)=1/4*2^4 f(17)=1/32 + f(16) f(17) = 1/32 + (16)^1/4 f(17) = 0.03125 + 2 (17)^1/4 = 2.03125 Approximate value of (17/81)^1/4 = 2.03125/3 = 0.677 read less
Comments
Dislike Bookmark

question is will you evaluate (97/81)^(1/4) in the same manner
Comments
Dislike Bookmark

View 21 more Answers

Related Questions

I want to do JEE preparations. What will be the fees requirement and can I have home tuitions available? Where will be NCERT books available?
For IIT maths fee will be 45 thousands for complete course of one year, if you wish to be in hands of two digit ranker in IIT- JEE. Other wise local teachers are there who may teach u @ ten thousands....
Mahalakshmi
There is news going around of clubbing JEE Main and JEE Advanced in 2015. How far the news is true?
Not true..
Biswas
Is it really important to take coaching in class 11 as a PCM student?
Yes, If you want to get selection in IIT. Because for IIT JEE examination you must have basic knowledge of PCM subjects which are possible only deep study of subjects (PCM). within time only best coaching...
Sonam
0 0
5
Is going to coaching necessary for chemistry class 11 CBSE?
Better is that u can use different reference text book and creat own notes which are use full for your study.
Pradeep
0 0
5
How important is class 11? Will it be alright if I join a dummy school in class 11and attend coaching class for JEE?
Class 11 is extremely important as it lays the foundation for future exams. Yes, a lot of students join dummy school and concentrate on preparing for JEE by enrolling in coaching institutes because they...
Gowrikanth
0 0
8

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

Ask a Question

Related Lessons

How To Study Effectively?
HOW TO STUDY EFFECTIVELY? Proper, Planning, Prevents, Poor, Performance There are a variety of study systems available, but all are organized in basically the same way and are designed to accomplish...

Aswathi V.

1 0
0
Inequalities basics part 2

Rajan Mittal

0 0
0
Rotation | Angular displacement, Velocity and acceelration

" type="video/mp4">

Vishesh N.

0 0
0
Rotation

Vishesh N.

0 0
0
Inequalities basics part 3

Rajan Mittal

0 0
0

Recommended Articles

Get an Expert’s Guide and Tips to Make it...

An exclusive interview with Dr. Ashok Gopalakrishnan, CEO, Magnificient2 Software Services & Technology Inc. on approaching the JEE exam and how to make it to one of the IITs. Flexiguru.com: Flexiguru.com is an e-learning company offering flexible learning solutions that enhance teaching and learning. Launched with...

Read full article >

The IIT Dream: Ways to Make it True

The students who dream or make into IITs can be categorized into two -- Some planning at a very early stage and some starting at a much later stage after their first Board/Public exam. The difference may not be pronounced but the early starters have a slight edge over the latter. The competition for the elite IITs...

Read full article >

JEE Exam: Preparation Tips for Mathematics Paper

JEE (previously known as IIT JEE) is an engineering entrance exam conducted by Central Board of Secondary Education. To crack the JEE exam, students need to focus equally in all the three subjects -- Physics, Chemistry and Mathematics. One of the most critical and dreaded subjects in the JEE Syllabus is the Mathematics...

Read full article >

Why You Should Switch to Online Coaching...

Looking forward to become an IITian? Searching for best coaching mode to prepare for IIT JEE exam? Then look no further than IIT JEE online coaching classes and start preparing for the test anywhere anytime, as per your convenience. With better connectivity provisions in India, now more and more students are connected...

Read full article >

Find IIT JEE Coaching near you
IIT JEE Coaching in Delhi
IIT JEE Coaching in Mumbai
IIT JEE Coaching in Bangalore
IIT JEE Coaching in Hyderabad
IIT JEE Coaching in Kolkata
IIT JEE Coaching in Chennai
IIT JEE Coaching in Pune
IIT JEE Coaching in Lucknow
IIT JEE Coaching in Gurgaon
IIT JEE Coaching in Jaipur
Online IIT JEE Coaching

Looking for IIT JEE Coaching ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you