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 Use the Second Derivative Test to find the relative extrema, if any, of the function f(x)=x+64x\text { Use the Second Derivative Test to find the relative extrema, if any, of the function } f ( x ) = x + \frac { 64 } { x } \text {. }

Question 99

Multiple Choice

 Use the Second Derivative Test to find the relative extrema, if any, of the function f(x) =x+64x\text { Use the Second Derivative Test to find the relative extrema, if any, of the function } f ( x ) = x + \frac { 64 } { x } \text {. } Select the correct answer.


A) None
B) Rel. max. f(0) =0f ( 0 ) = 0
C) Rel. max.f(8) =16\max . f ( 8 ) = 16 ,
rel. min. f(8) =16f ( - 8 ) = - 16
D) Rel. max.f(8) =16\max . f ( - 8 ) = - 16 ,
rel. min. f(8) =16f ( 8 ) = 16

Correct Answer:

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