Find the derivative of $f ( x ) = 5 - 2 e + 3 x - 2 x ^ { 5 } + \frac { 1 } { \sqrt [ 3 ] { x } }$
A) $- 1 - 10 x ^ { 4 } - \frac { 1 } { 3 } x ^ { - \frac { 1 } { 3 } }$
B) $3 - 10 x ^ { 4 } - \frac { 1 } { 3 } x ^ { - \frac { 1 } { 3 } }$
C) $3 - 10 x ^ { 4 } - \frac { 1 } { 3 } x ^ { - \frac { 4 } { 3 } }$
D) $3 - 10 x ^ { 4 } - \frac { 1 } { 3 } x ^ { - \frac { 2 } { 3 } }$

Question

Quizplus · Accepted Answer

The derivative of $f(x) = 5 - 2e + 3x - 2x^5 + \frac{1}{\sqrt[3]{x}}$ is found by differentiating each term: the constant terms $5$ and $-2e$ become $0$, $3x$ becomes $3$, $-2x^5$ becomes $-10x^4$, and $\frac{1}{\sqrt[3]{x}}$ becomes $-\frac{1}{3}x^{-\frac{4}{3}}$.

Find the Derivative Of f(x)=5−2e+3x−2x5+1x3f ( x ) = 5 - 2 e + 3 x - 2 x ^ { 5 } + \frac { 1 } { \sqrt [ 3 ] { x } }f(x)=5−2e+3x−2x5+3x​1​

Find the Derivative Of $f ( x ) = 5 - 2 e + 3 x - 2 x ^ { 5 } + \frac { 1 } { \sqrt [ 3 ] { x } }$