If $y=x^{\sin x}+(\sin x)^x$, then $\frac{d y}{d x}$ at $x=\frac{\pi}{2}$ is - DASH

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Question

If $y=x^{\sin x}+(\sin x)^x$, then $\frac{d y}{d x}$ at $x=\frac{\pi}{2}$ is

$\frac{4}{\pi}$

$\pi \log \frac{\pi}{2}$

1

$\frac{\pi^2}{2}$

Solution

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