Q. The differential coefficient of $f(\sin{x)}$ with respect to $x$, where $f(x) = \log x$, is
A) $\tan x$
B) $\cot x$
C) $f(\cos{x)}$
D) $\frac{1}{x}$
Explanation
(b)
Let $y = f(\sin{x)}$
$\Rightarrow y = \log{(\sin{x)}}$
$\therefore\frac{dy}{dx} = \frac{1}{\sin x}\cos{x = \cot x}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.