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If $y =(\sin x)^{\tan x}$ then $\large\frac{dy}{dx}$ is equal to

$\begin{array}{1 1} (\sin x)^{\tan x}.(1+\sec^2 x . \log \sin x) \\ \tan x. (\sin x) ^{\tan x-1}. \cos x \\ (\sin x) ^{\tan x}. \sec^2x. \log \sin x \\ \tan x. (\sin x) ^{\tan x-1} \end{array} $

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