Q. $\frac{d}{dx}{(log\ x)}^{4}$ is equal to
A) $4\ \log\ x^{3}$
B) $4{(\log{x)}}^{3}$
C) $\frac{4{{(log}{x)}}^{3}}{x}$
D) $\frac{{(4\log{x)}}^{3}}{x}$
Explanation
(c)
$\frac{d}{dx}{(\log{x)}}^{4} = 4{(\log{x)}}^{3}\frac{d}{dx}(\log{x) = \frac{4{(\log{x)}}^{3}}{x}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.