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Finding Critical Points of a Function

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For the function $f(x)= \frac{x*\sqrt{x+8}}{x-2},$ determine all values of x for which the derivative $f'(x)=0.$

A

$x = 3-\sqrt{41}$

B

$x = 3+\sqrt{41}$

C

$x = 3+\sqrt{41}\text{ and }x = 3-\sqrt{41}$

D

$x = 3$

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