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

How do I manage school, coaching, home tuitions in class 12?
You need to divide Ur schedule properly for all the subjects and more on your those subjects which seems to be tough for u nd atleast 1 and ½ hr for practice/revisions for the topics that u covered...
Rosary
0 0
6
How should I get more than 90% in the class 12 board exam by doing self-study?
Target is achievable. You are required to be focussed. Study each and every concept, term, definition given in the NCERT books. Even the pictures given in books can form the basis for questions. Solve...
Pratik
0 0
7
I am IIT DELHI B.TECH Graduate .Highly Interested in teaching IIT JEE aspirants specially MATHS, PHYSICAL CHEMISTRY, PHYSICS with excellence in teaching.
Planning to intensify iit jee coaching starting next batch. Why dont you call me up, so that we harmonise our efforts to success.
Salman Khan
Is it important to join coaching in class 11?
• If you are an average student (getting 55-75% marks) or below average you need help from tuition !! • if you have chosen different streams other than SCIENCE like Arts , Commerce and you...
Gulfam
0 0
9
How do I start preparing for JEE MAINS from class 11 without using coaching?
Apart from your daily study routine, you have to spend at least 2 to 3hours to clear only basic concepts of any subject.
Vishvajeet
0 0
5

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

Ask a Question

Related Lessons

IIT JEE & NEET Information
Hi Parents, we are starting a batch for 2017-19 for IIT JEE Main & Advance plus NEET. IIT Foundation is a course to be undertaken from 9th On wards, do not waste your money from VII/VIII...

Auxano EduTech LLP

0 0
0
All you need to know about Motion, Velocity and Speed
Linear Motion also called rectilinear motion is a one-dimensional motion along a straight line, and can, therefore, be described mathematically using only one dimension. The linear motion can be of two...

Vishesh N.

1 0
0
How to Prepare for IIT JEE Physics
Hello Dear Students, In this article, we'll talk about a practical and achievable strategy to Score High Marks in IIT JEE PHYSICS.First of all, let me clear it; the number of books finished doesn't matter...
A

Abhay

0 0
0
Types of vectors and basic operations

Rajan Mittal

0 0
0
Use Biot-Savart Law To Derive The Expression For The Magnetic Field
Use Biot-Savart law to derive the expression for the magnetic field on the axis of a current carrying circular loop of radius R. Draw the magnetic field lines due to a circular wire carrying current. Let...

Sujoy Das

3 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 Kolkata
IIT JEE Coaching in Hyderabad
IIT JEE Coaching in Chennai
IIT JEE Coaching in Pune
IIT JEE Coaching in Lucknow
IIT JEE Coaching in Jaipur
IIT JEE Coaching in Gurgaon
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