question_answer

\[f\text{(x)}=si{{n}^{p}}\,x\text{ }co{{s}^{p}}(p,q>0,0<x<\pi /2)\]has a point of maximum at

A)  \[x={{\tan }^{-1}}\left( \sqrt{\frac{p}{q}} \right)\]

B)                     \[x={{\tan }^{-1}}\left( \sqrt{\frac{q}{p}} \right)\]

C)  \[x=ta{{n}^{-1}}\left( \frac{p}{q} \right)\]     

D)                     No such point exists