Find the derivative of $f ( x ) = \frac { 1 } { \sqrt [ 3 ] { x } }$
A) - $\frac { 1 } { 3 x ^ { 4 / 3 } }$
B) $\frac { 2 } { 3 }$ $x ^ { - 4 / 3 }$
C) $\frac { 5 } { 3 x ^ { 2 } }$
D) none of these

Question

Quizplus · Accepted Answer

The function $f(x) = \frac{1}{\sqrt[3]{x}}$ can be rewritten as $x^{-1/3}$. Using the power rule for differentiation, $f'(x) = -\frac{1}{3}x^{-4/3}$, which matches option A.

Find the Derivative Of f(x)=1x3f ( x ) = \frac { 1 } { \sqrt [ 3 ] { x } }f(x)=3x​1​

Find the Derivative Of $f ( x ) = \frac { 1 } { \sqrt [ 3 ] { x } }$