Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please solve RD Sharma class 12 chapter 10 Differentiation exercise Very short answers question 5 maths textbook solution

Please solve RD Sharma class 12 chapter 10 Differentiation exercise Very short answers question 5 maths textbook solution

Answers (1)

Answer:

The answer of the given question will be 2.

Given:

\text { If } f^{\prime}(x)=\sqrt{2 x^{2}-1} \text { and } y=f\left(x^{2}\right) \text { then find } \frac{d y}{d x} \text { at } x=1

Hint:

\frac{d y}{d x}=\frac{d}{d x}\left[f\left(x^{2}\right)\right]=f^{\prime}\left(x^{2}\right) \cdot \frac{d}{d x}\left(x^{2}\right)

Solution:  

\begin{aligned} &y=f\left(x^{2}\right) \\\\ &\Rightarrow \frac{d y}{d x}=f^{\prime}\left(x^{2}\right) \cdot \frac{d}{d x}\left(x^{2}\right) \\\\ &=2 x \cdot f^{\prime}\left(x^{2}\right) \end{aligned}

\begin{aligned} &\Rightarrow \frac{d y}{d x}=2 x \cdot \sqrt{2\left(x^{2}\right)^{2}-1} \\\\ &\Rightarrow \frac{d y}{d x}=2 x \cdot \sqrt{2 x^{4}-1} \\\\ &\Rightarrow \frac{d y}{d x}(\text { at } x=1)=2.1 \cdot \sqrt{2(1)^{4}-1} \end{aligned}

\begin{aligned} &=2 \sqrt{2-1} \\\\ &=2 \times 1 \\\\ &=2 \end{aligned}

So, the answer will be 2.

 

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 Class 12 Hindi exam 2025 not postponed; special exam for those who miss
anam-khan

CBSE Board Exams 2025 LIVE: Class 12 Hindi paper over; updates on exam analysis, answer key
anam-khan

CBSE Class 12 English Exam Analysis 2025: Paper rated 'easy, straightforward'; section-wise difficulty level

Latest Question