Q. $\frac{d}{dx}\lbrack\log_{e}{e^{\sin\left( x^{2} \right)}\rbrack}\$is equal to
A) $2\ cos(x^{2})$
B) $2\cos x$
C) $2x.\cos x$
D) $2x\ cos(x^{2})$
Explanation
(d)
$\frac{d}{dx}\lbrack\log_{e}{e^{\sin\left( x^{2} \right)}\rbrack} = \frac{d}{dx}\lbrack\sin{(x^{2})\rbrack = \cos^{(x^{2})}2x\ }$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.