Q. If $y = 5^{x}\ x^{5},\ then\frac{dy}{dx}\ is$
A) $5^{x}(x^{5}\log 5 - 5x^{4})$
B) $x^{5}\log{5 - 5x^{4}}$
C) $x^{5}\log{5 + 5x^{4}}$
D) $5^{x}(x^{5}\log{5 + 5x^{4})}$
Explanation
(d)
Given, $y = 5^{x}x^{5} \Rightarrow \frac{dy}{dx} = 5^{x}\log{5.x^{5} + 5^{x}5x^{4}}$
$= 5^{x}(x^{5}\log{5 + 5x^{4})}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.