Find the derivative of the function. $f ( x ) = x ^ { 5 }$
A) $f ^ { \prime } ( x ) = 5 x ^ { 5 }$
B) $f ^ { \prime } ( x ) = 5 x ^ { 4 }$
C) $f ^ { \prime } ( x ) = 4 x ^ { 4 }$
D) $f ^ { \prime } ( x ) = 4 x ^ { 6 }$
E)none of the above

Question

Quizplus · Accepted Answer

The derivative of $x^5$ with respect to $x$ is found using the power rule, which states that the derivative of $x^n$ is $nx^{n-1}$. Applying this rule, the derivative of $x^5$ is $5x^{5-1} = 5x^4$.

Find the Derivative of the Function f(x)=x5f ( x ) = x ^ { 5 }f(x)=x5

Find the Derivative of the Function $f ( x ) = x ^ { 5 }$