Q. Derivative of $x^{6} + 6^{x}$ with respect to $x$ is
A) $12x$
B) $x + 4$
C) $6x^{5} + 6^{x}\log 6$
D) $6x^{5} + x6^{x - 1}$
Explanation
(c)
Let $y = x^{6} + 6^{x}$
On differentiating w.r.t. $x$, we get
$\frac{dy}{dx} = 6x^{5} + 6^{x}\log 6$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.