Find the derivative of the function. $f ( x ) = \frac { 1 } { 3 x ^ { 2 } }$
A) $2 x - 3$
B) $- \frac { 2 } { 3 x ^ { 3 } }$
C) $\frac { 6 } { x ^ { 3 } }$
D) $2 x + 3$
E) $\frac { 1 } { 3 }$

Question

Find the derivative of the function.   $f ( x ) = \frac { 1 } { 3 x ^ { 2 } }$  
A) $2 x - 3$
B) $- \frac { 2 } { 3 x ^ { 3 } }$
C) $\frac { 6 } { x ^ { 3 } }$
D) $2 x + 3$
E) $\frac { 1 } { 3 }$

Quizplus · Accepted Answer

The derivative of $f(x) = \frac{1}{3x^2}$ can be found using the power rule. Rewrite the function as $f(x) = \frac{1}{3}x^{-2}$, then apply the derivative: $f'(x) = -\frac{2}{3}x^{-3}$, which matches choice B.

Find the Derivative of the Function f(x)=13x2f ( x ) = \frac { 1 } { 3 x ^ { 2 } }f(x)=3x21​

Find the Derivative of the Function $f ( x ) = \frac { 1 } { 3 x ^ { 2 } }$