Find the derivative of $f ( x ) = x ^ { - 3 } - 10 e ^ { x }$
A) $f ^ { \prime } ( x ) = 3 x ^ { 2 } - 10 e ^ { x }$
B) $f ^ { \prime } ( x ) = - \frac { 3 } { x ^ { 4 } } - 10 x e ^ { x - 1 }$
C) $f ^ { \prime } ( x ) = - \frac { 3 } { x ^ { 4 } } - 10 e ^ { x }$
D) $f ^ { \prime } ( x ) = 3 x ^ { 2 } - 10 x e ^ { x - 1 }$
E) $f ^ { \prime } ( x ) = - \frac { 3 } { x ^ { 4 } } - 10 x e ^ { x }$

Question

Quizplus · Accepted Answer

The derivative of $x^{-3}$ is $-3x^{-4}$ or $-\frac{3}{x^4}$, and the derivative of $10e^x$ is $10e^x$. Therefore, the derivative of the function is $-\frac{3}{x^4} - 10e^x$.

Find the Derivative Of f(x)=x−3−10exf ( x ) = x ^ { - 3 } - 10 e ^ { x }f(x)=x−3−10ex

Find the Derivative Of $f ( x ) = x ^ { - 3 } - 10 e ^ { x }$