Let $f ( x ) = 4 - x ^ { 2 }$ . Then $f ^ { \prime } ( x )$ is

A)-2x
B) $- x ^ { 2 }$
C)2x
D) $x ^ { 2 }$
E) $4 - 2 x$

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

Let $f ( x ) = 4 - x ^ { 2 }$ . Then $f ^ { \prime } ( x )$ is

A)-2x
B) $- x ^ { 2 }$
C)2x
D) $x ^ { 2 }$
E) $4 - 2 x$

Quizplus · Accepted Answer

The derivative of $f(x) = 4 - x^2$ with respect to $x$ is found using the power rule. The derivative of a constant is 0, and the derivative of $x^2$ is $2x$, so $f'(x) = -2x$.

Let f(x)=4−x2f ( x ) = 4 - x ^ { 2 }f(x)=4−x2

Let $f ( x ) = 4 - x ^ { 2 }$