$\text { Find the derivative of the function } f ( x ) = - 5 x ^ { 3 } - 2 \sin ( x ) \text {. }$
A) $f ^ { t } ( x ) = - 15 x ^ { 2 } + 2 \cos ( x )$
B) $f ^ { t } ( x ) = - 10 x ^ { 2 } - 2 \cos ( x )$
C) $f ^ {t } ( x ) = - 5 x ^ { 2 } - 2 \cos ( x )$
D) $f ^ {t } ( x ) = - 5 x ^ { 2 } + 2 \cos ( x )$
E) $f ^ { t } ( x ) = - 15 x ^ { 2 } - 2 \cos ( x )$

Question

$\text { Find the derivative of the function } f ( x ) = - 5 x ^ { 3 } - 2 \sin ( x ) \text {. }$ 
A) $f ^ { t } ( x ) = - 15 x ^ { 2 } + 2 \cos ( x )$
B) $f ^ { t } ( x ) = - 10 x ^ { 2 } - 2 \cos ( x )$
C) $f ^ {t } ( x ) = - 5 x ^ { 2 } - 2 \cos ( x )$
D) $f ^ {t } ( x ) = - 5 x ^ { 2 } + 2 \cos ( x )$
E) $f ^ { t } ( x ) = - 15 x ^ { 2 } - 2 \cos ( x )$

Quizplus · Accepted Answer

The derivative of $f(x) = -5x^3 - 2\sin(x)$ is found by applying the power rule to the first term, resulting in $-15x^2$, and the derivative of the sine function to the second term, resulting in $-2\cos(x)$.

Find the derivative of the function f(x)=−5x3−2sin⁡(x). \text { Find the derivative of the function } f ( x ) = - 5 x ^ { 3 } - 2 \sin ( x ) \text {. } Find the derivative of the function f(x)=−5x3−2sin(x).

$\text { Find the derivative of the function } f ( x ) = - 5 x ^ { 3 } - 2 \sin ( x ) \text {. }$