Differentiate the sin (log x), x > 0 w.r.t. x. - Vidyadip

Question

Differentiate the sin (log x), x > 0 w.r.t. x.

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Answer

Let y = sin (log x).
Using the chain rule, we have,
$\frac{d y}{d x}$ = cos (log x)$\times $$\frac{d}{d x}(\log x)=\frac{\cos (\log x)}{x}$

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