Let $f ( x ) = ( x - 2 ) ^ { 2 }$ . Then $f ^ { \prime } ( x )$ is

A) $2 x - 4$
B) $2 x + 4$
C) $- 2 x - 4$
D) $- 2 x + 4$
E) $2 x + 8$

Name: Let $f ( x ) = ( x - 2 ) ^ { 2 }$ . Then $f ^ { \prime } ( x )$ is A) $2 x - 4$ B) $2 x + 4$ C) $- 2 x - 4$ D) $- 2 x + 4$ E) $2 x + 8$
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Question

Let $f ( x ) = ( x - 2 ) ^ { 2 }$ . Then $f ^ { \prime } ( x )$ is

A) $2 x - 4$
B) $2 x + 4$
C) $- 2 x - 4$
D) $- 2 x + 4$
E) $2 x + 8$

Quizplus · Accepted Answer

The derivative of $f(x) = (x - 2)^2$ with respect to $x$ is found using the power rule and chain rule of differentiation. Differentiating $f(x)$ gives $f'(x) = 2(x - 2)(1) = 2x - 4$.

Let f(x)=(x−2)2f ( x ) = ( x - 2 ) ^ { 2 }f(x)=(x−2)2

Let $f ( x ) = ( x - 2 ) ^ { 2 }$