Solve this following


Mark $(\sqrt{)}$ against the correct answer in the following:

If $y=(\tan x)^{\cot x}$ then $\frac{d y}{d x}=?$

A. $\cot x \cdot(\tan x)^{\cot x-1} \cdot \sec ^{2} x$

B. $-(\tan x)^{\cot x} \cdot \operatorname{cosec}^{2} x$

C. $(\tan x)^{\cot x} \cdot \operatorname{cosec}^{2} x(1-\log \tan x)$

D. none of these


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