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Finding Critical Points of a Polynomial

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The derivative of the function f(x)=x33x2+2f(x) = x^3 - 3x^2 + 2 is given by f(x)=3x(x2)f'(x) = 3x(x-2). What are all values of xx for which f(x)=0f'(x) = 0?

A

x=0x=0

B

x=2,0,2x=-2,\, 0,\, 2

C

x=0,2x=0,\, 2

D

x=2x=2

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