Q. The differential coefficient of $f\left( \log x \right),where\ f(x) = \log x\ is\$
A) $\frac{x}{\log x}$
B) ${(x\log{x)}}^{- 1}$
C) $\frac{\log x}{x}$
D) None of these
Explanation
(b)
$f(\log{x) =}\log{\log{(x)}}$
$\Rightarrow$ $\frac{d}{dx}\{ f(\log{x)\} = \frac{1}{x}.\frac{1}{\log x}}$ = ${(x\log{x)}}^{- 1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.