APFIVE Finding Critical Points of a Polynomial
The derivative of the function $$f(x) = x^3 - 3x^2 + 2$$ is given by $$f'(x) = 3x(x-2)$$. What are all values of $$x$$ for which $$f'(x) = 0$$?
A
$$x=2$$
B
$$x=0$$
C
$$x=0,\, 2$$
D
$$x=-2,\, 0,\, 2$$
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