Question:
Mark $(\sqrt{ })$ against the correct answer in the following:
If $y=(\sin x)^{\log x}$ then $\frac{d y}{d x}=?$
A. $(\log x) \cdot(\sin x)^{(\log x-1)} \cdot \cos x$
B. $(\sin x)^{\log x} \cdot\left\{\frac{x \log x+\log \sin x}{x}\right\}$
C. $(\sin x)^{\log x} \cdot\left\{\frac{(x \log x) \cot x+\log \sin x}{x}\right\}$
D. none of these
Solution:
