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  • Provide solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Multiple choice question 2

Provide solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Multiple choice question 2

Answers (1)

Answer:

        (x \log )^{-1}

Hint:

        Use differential formula 

Given:

        f(x)=\log x

Solution:  

We have

        \begin{aligned} &f(x)=\log x \\\\ &f(\log x)=\log (\log x) \\\\ &f^{\prime}(\log x)=\frac{1}{\log x} \frac{d}{d x}(\log x) \end{aligned}

                         =\frac{1}{x \log x}

        f^{\prime}(\log x)=(x \log x)^{-1}

Posted by

infoexpert26

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