Find the second derivative for the function $f ( x ) = 3 x ^ { 3 } + 27 x ^ { 2 } - 12 x - 32$ and solve the equation $f ^ { \prime \prime } ( x ) = 0$ .
A)-3
B)3
C)0
D)32
E)12

Name: Find the second derivative for the function $f ( x ) = 3 x ^ { 3 } + 27 x ^ { 2 } - 12 x - 32$ and solve the equation $f ^ { \prime \prime } ( x ) = 0$ . A)-3 B)3 C)0 D)32 E)12
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Quizplus · Accepted Answer

The second derivative of the function is $f ^ { \prime \prime } ( x ) = 18 x + 54$. Setting this equal to zero and solving for x gives $x = -3$.

Find the Second Derivative for the Function f(x)=3x3+27x2−12x−32f ( x ) = 3 x ^ { 3 } + 27 x ^ { 2 } - 12 x - 32f(x)=3x3+27x2−12x−32

Find the Second Derivative for the Function $f ( x ) = 3 x ^ { 3 } + 27 x ^ { 2 } - 12 x - 32$