Let (f(x)=6\sqrt{x^5}^3). If (f'(x)=ax^p), where a and p are... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

Let $f(x)=6\sqrt{x^5}^3$ . If $f'(x)=ax^p$ , where a and p are constants, then the value of p is equal to

A

$\frac{3}{5}$

B

$\frac{-2}{5}$

C

$\frac{2}{3}$

D

$\frac{-2}{3}$

E

$\frac{2}{5}$

Answer

$\frac{2}{3}$

Explanation

Solution

The correct option is (C): $\frac{2}{3}$