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Find the second order derivatives of the functions given in Exercises 1 to 10. log x

Q4   Find the second order derivatives of the functions given in Exercises 1 to 10.

        \log x

 

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Given function is
y=\log x
Now, differentiation w.r.t. x
\frac{dy}{dx}=\frac{1}{x}
Now, second order derivative is
\frac{d^2y}{dx^2}= \frac{-1}{x^2}
Therefore,  second order derivative is \frac{d^2y}{dx^2}= \frac{-1}{x^2}

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