Compute the derivative function $f ^ { \prime } ( x )$ algebraically.
$f ( x ) = - x ^ { 2 } - 2 x$
A) $f ^ { \prime } ( x ) = 2 x - 2$
B) $f ^ { \prime } ( x ) = - 2$
C) $f ^ { \prime } ( x ) = - 2 x$
D) $f ^ { \prime } ( x ) = - 2 x - 2$
E) $f ^ { \prime } ( x ) = - x - 2$

Question

Compute the derivative function $f ^ { \prime } ( x )$ algebraically.  
  $f ( x ) = - x ^ { 2 } - 2 x$  
A)  $f ^ { \prime } ( x ) = 2 x - 2$
B)   $f ^ { \prime } ( x ) = - 2$
C)   $f ^ { \prime } ( x ) = - 2 x$
D)   $f ^ { \prime } ( x ) = - 2 x - 2$
E)   $f ^ { \prime } ( x ) = - x - 2$

Quizplus · Accepted Answer

Using the power rule for differentiation, the derivative of $f(x) = -x^2 - 2x$ is $f'(x) = -2x - 2$.

Compute the Derivative Function f′(x)f ^ { \prime } ( x )f′(x)

Compute the Derivative Function $f ^ { \prime } ( x )$