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Finding Critical Numbers

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For the function f(x)=2∗x3−9∗x2+12∗x+5f(x)= 2*x^3-9*x^2+12*x+5, the derivative is f′(x)=6∗x2−18∗x+12f'(x)= 6*x^2-18*x+12. Solve the equation 6∗x2−18∗x+12=06*x^2-18*x+12=0 for x.

A

x=1x=1

B

x=2x=2

C

x=1, 2x=1,\, 2

D

x=0, 1, 2x=0,\, 1,\, 2

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