Compute the derivative function $f ^ { \prime } ( x )$ algebraically.
$f ( x ) = 2 x ^ { 2 } + x$
A) $f ^ { \prime } ( x ) = 4$
B) $f ^ { \prime } ( x ) = 4 x + 1$
C) $f ^ { \prime } ( x ) = 4 + x$
D) $f ^ { \prime } ( x ) = 4 x$
E) $f ^ { \prime } ( x ) = 2 x + 1$

Question

Compute the derivative function $f ^ { \prime } ( x )$ algebraically.  
  $f ( x ) = 2 x ^ { 2 } + x$  
A) $f ^ { \prime } ( x ) = 4$
B)   $f ^ { \prime } ( x ) = 4 x + 1$
C)   $f ^ { \prime } ( x ) = 4 + x$
D)   $f ^ { \prime } ( x ) = 4 x$
E)   $f ^ { \prime } ( x ) = 2 x + 1$

Quizplus · Accepted Answer

Using the power rule for differentiation, the derivative of $2x^2$ is $4x$, and the derivative of $x$ is $1$, so the derivative $f'(x) = 4x + 1$.

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

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