Compute the derivative function $f ^ { \prime } ( x )$ algebraically.
$f ( x ) = - 5 x + 7$
A) $f ^ { \prime } ( x ) = - 5$
B) $f ^ { \prime } ( x ) = 0$
C) $f ^ { \prime } ( x ) = x$
D) $f ^ { \prime } ( x ) = 2$
E) $f ^ { \prime } ( x ) = - 5 x$

Question

Compute the derivative function $f ^ { \prime } ( x )$ algebraically.  
  $f ( x ) = - 5 x + 7$  
A)  $f ^ { \prime } ( x ) = - 5$
B)   $f ^ { \prime } ( x ) = 0$
C)   $f ^ { \prime } ( x ) = x$
D)   $f ^ { \prime } ( x ) = 2$
E)   $f ^ { \prime } ( x ) = - 5 x$

Quizplus · Accepted Answer

The derivative of a linear function $f(x) = ax + b$ is the coefficient of $x$, which is $a$. Therefore, the derivative of $f(x) = -5x + 7$ is $f'(x) = -5$.

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