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  • Need solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Multiple choice question 11

Need solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Multiple choice question 11

Answers (1)

Answer:

        Does not exist

Hint:

        \sec ^{-1} \alpha is not defined

Given:

        \sec ^{-1}\left(\frac{1}{2 x^{2}+1}\right) \text { W.r.t } \sqrt{1+3 x} \text { at } x=-\frac{1}{3}

Solution:  

We know that \sec ^{-1} \alpha  is not defined for \alpha \in(-1,1)

Here for     x=-\frac{1}{3}, \frac{1}{2 x^{2}+1}=\frac{9}{11} \in(-1,1)

\therefore \sec ^{-1}\left(\frac{1}{2 x^{2}+1}\right) Is not defined at   x=-\frac{1}{3}

Derivative of   \sec ^{-1}\left(\frac{1}{2 x^{2}+1}\right)   does not exist at x=-\frac{1}{3}

Posted by

infoexpert26

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