Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Provide solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Fill in the blanks question 22

Provide solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Fill in the blanks question  22

Answers (1)

Answer: the correct answer is \frac{3 x^{2}}{1+x^{6}}

Hint: integrate the function.

Given: \frac{d}{\mathrm{dx}} f(x)=\frac{1}{1+x^{2}}

Solution: integrating we get

\begin{aligned} &\int \frac{d}{d x}(f(x)) d x=\int\left[\frac{1}{1+x^{2}}\right] d x \\\\ &f(x)=\tan ^{-1} x+e \end{aligned}

\begin{aligned} &f\left(x^{3}\right)=\tan ^{-1}\left(x^{3}\right)+c \\\\ &f^{1}\left(x^{3}\right)=\frac{3 x^{2}}{1+x^{6}} \end{aligned}

So the answer is  \frac{3 x^{2}}{1+x^{6}}

 

Posted by

infoexpert26

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Result 2025 (LIVE): Class 10, 12 marksheet likely today at cbse.gov.in, Digilocker; websites to check
anam-khan

CBSE Class 10, 12 result 2025 ‘will be available soon’ on DigiLocker; latest update from board
anam-khan

CBSE Board Result 2025 LIVE: Class 10th, 12th results by next week; DigiLocker codes, latest updates

Latest Question