Consider the polynomial
f(x)=2x3−9x2+12x−5f(x) = 2x^3 - 9x^2 + 12x - 5f(x)=2x3−9x2+12x−5
Run the three-step recipe — differentiate, set the derivative to zero, solve — to locate every critical point of fff.
Which set of xxx-values is exactly the set of critical points?
Select all that apply.
x=−1x = -1x=−1 and x=−2x = -2x=−2
x=0x = 0x=0 and x=3x = 3x=3
x=1x = 1x=1 and x=2x = 2x=2
x=32x = \dfrac{3}{2}x=23, and nothing else