Calculate the derivative of the function. Then find the value of the derivative as specified.
-$$g ( x ) = 3 x ^ { 2 } - 4 x ; g ^ { \prime } ( 3 )$$
A) $g ^ { \prime } ( x ) = 2 x - 4 ; g ^ { \prime } ( 3 ) = 2$
B) $g ^ { \prime } ( x ) = 6 x ; g ^ { \prime } ( 3 ) = 18$
C) $g ^ { \prime } ( x ) = 3 x - 4 ; g ^ { \prime } ( 3 ) = 5$
D) $g ^ { \prime } ( x ) = 6 x - 4 ; g ^ { \prime } ( 3 ) = 14$

Question

Quizplus · Accepted Answer

The derivative of $g(x) = 3x^2 - 4x$ is $g'(x) = 6x - 4$. Substituting $x = 3$ into $g'(x)$ gives $g'(3) = 6(3) - 4 = 18 - 4 = 14$.

Calculate the Derivative of the Function g(x)=3x2−4x;g′(3)g ( x ) = 3 x ^ { 2 } - 4 x ; g ^ { \prime } ( 3 )g(x)=3x2−4x;g′(3)

Calculate the Derivative of the Function $g ( x ) = 3 x ^ { 2 } - 4 x ; g ^ { \prime } ( 3 )$