If $f ( x ) = 1 / x ^ { 2 }$ , find $f ^ { \prime \prime } ( 1 )$ .
A)1
B)4
C)2
D)6
E)3
F)0
G)5
H)8

Name: If $f ( x ) = 1 / x ^ { 2 }$ , find $f ^ { \prime \prime } ( 1 )$ . A)1 B)4 C)2 D)6 E)3 F)0 G)5 H)8
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Quizplus · Accepted Answer

The first derivative of $f(x) = \frac{1}{x^2}$ is $f'(x) = -2x^{-3}$. The second derivative is $f''(x) = 6x^{-4}$. Evaluating $f''(1)$ gives $6 \cdot 1^{-4} = 6$.

If f(x)=1/x2f ( x ) = 1 / x ^ { 2 }f(x)=1/x2

If $f ( x ) = 1 / x ^ { 2 }$