Solve this following

Question:

If $y=x^{\cos x}+(\cos x)^{x}$, prove that $\frac{d y}{d x}=x^{\cos x} \cdot\left\{\frac{\cos x}{x}-(\sin x) \log x\right\}+(\cos x)^{x}$

$[(\log \cos x)-x \tan x]$

Solution:

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