Question

Differentiate w.r.t.$x$:

$y=\sqrt{\cos ecx.}$

Answer 1

$\begin{array}{c}Weknowthe\\ \frac{d}{dx}\sqrt{x}=\frac{1}{2\sqrt{x}}\\ Now\\ \frac{d}{dx}\left(\sqrt{\cos ecx}\right)=\frac{1}{2\sqrt{\cos ecx}}\left(-\cos ecx.\cot x\right)\\ =-\frac{\sqrt{\cos ecx}.\cot x}{2}\\ Itistherequiredanswer.\end{array}$