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

Question

Quizplus · Accepted Answer

To find the derivative of $f(x) = \frac{x^3 + 6x}{3}$, apply the power rule to each term: $\frac{d}{dx}(x^3) = 3x^2$ and $\frac{d}{dx}(6x) = 6$. Then, divide each by 3: $f'(x) = x^2 + 2$.

Find the Derivative of the Function f(x)=x3+6x3f ( x ) = \frac { x ^ { 3 } + 6 x } { 3 }f(x)=3x3+6x​

Find the Derivative of the Function $f ( x ) = \frac { x ^ { 3 } + 6 x } { 3 }$