Find the derivative of the function. $$f ( x ) = x ^ { 4 }$$
A) $f ^ { t } ( x ) = 4 x ^ { 4 }$
B) $f ^ { t } ( x ) = 3 x ^ { 3 }$
C) $f ^ { t} ( x ) = 4 x ^ { 5 }$
D) $f ^ { t } ( x ) = 3 x ^ { 5 }$
E) $f ^ { t} ( x ) = 4 x ^ { 3 }$

Question

Quizplus · Accepted Answer

To take the derivative of a power function, we bring the power down, multiply it by the coefficient, and subtract 1 from the power. So, for this function, we get: $$f'(x)=4x^3 \cdot 1 = 4x^3$$ Therefore, the correct answer is choice E.

Find the Derivative of the Function f(x)=x4f ( x ) = x ^ { 4 }f(x)=x4

Find the Derivative of the Function $f ( x ) = x ^ { 4 }$