Compute the derivative function $f ^ { \prime } ( x )$ algebraically.
$f ( x ) = x ^ { 2 } - 9$
A) $f ^ { \prime } ( x ) = 2 x ^ { 2 }$
B) $f ^ { \prime } ( x ) = 2$
C) $f ^ { \prime } ( x ) = x - 9$
D) $f ^ { \prime } ( x ) = 2 x - 9$
E) $f ^ { \prime } ( x ) = 2 x$

Question

Compute the derivative function $f ^ { \prime } ( x )$ algebraically.  
  $f ( x ) = x ^ { 2 } - 9$  
A)  $f ^ { \prime } ( x ) = 2 x ^ { 2 }$
B)   $f ^ { \prime } ( x ) = 2$
C)   $f ^ { \prime } ( x ) = x - 9$
D)   $f ^ { \prime } ( x ) = 2 x - 9$
E)   $f ^ { \prime } ( x ) = 2 x$

Quizplus · Accepted Answer

The derivative of $f(x) = x^2 - 9$ with respect to $x$ is $f'(x) = 2x$, using the power rule for differentiation.

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