$\text { Find the derivative of the function } f ( x ) = - 7 x ^ { 3 } + 4 x ^ { 2 } + 1 \text {. }$
A) $f ^ { t } ( x ) = - 14 x + 4 x ^ { 2 }$
B) $f ^ { t} ( x ) = - 14 x ^ { 2 } + 4 x$
C) $f ^ { t } ( x ) = - 7 x ^ { 2 } + 4 x ^ { 2 } + 1$
D) $f ^ { t } ( x ) = - 21 x ^ { 2 } + 8 x + 1$
E) $f ^ {t } ( x ) = - 21 x ^ { 2 } + 8 x$

Question

$\text { Find the derivative of the function } f ( x ) = - 7 x ^ { 3 } + 4 x ^ { 2 } + 1 \text {. }$ 
A) $f ^ { t } ( x ) = - 14 x + 4 x ^ { 2 }$
B) $f ^ { t} ( x ) = - 14 x ^ { 2 } + 4 x$
C) $f ^ { t } ( x ) = - 7 x ^ { 2 } + 4 x ^ { 2 } + 1$
D) $f ^ { t } ( x ) = - 21 x ^ { 2 } + 8 x + 1$
E) $f ^ {t } ( x ) = - 21 x ^ { 2 } + 8 x$

Quizplus · Accepted Answer

The derivative of $f(x) = -7x^3 + 4x^2 + 1$ is found by applying the power rule to each term: $f'(x) = -21x^2 + 8x$. The constant term $+1$ differentiates to 0.

Find the derivative of the function f(x)=−7x3+4x2+1. \text { Find the derivative of the function } f ( x ) = - 7 x ^ { 3 } + 4 x ^ { 2 } + 1 \text {. } Find the derivative of the function f(x)=−7x3+4x2+1.

$\text { Find the derivative of the function } f ( x ) = - 7 x ^ { 3 } + 4 x ^ { 2 } + 1 \text {. }$