Question:
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
Solution:
