SOLUTION: find critical number for x^3-3x^2+2x+2

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Question 840495: find critical number for x^3-3x^2+2x+2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean critical point where df%2Fdx=0
f=x%5E3-3x%5E2%2B2x%2B2
df%2Fdx=3x%5E2-6x%2B2=0
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-6%29%2B-+sqrt%28+%28-6%29%5E2-4%2A3%2A2+%29%29%2F%282%2A3%29+
x+=+%286%2B-+sqrt%28+36-24+%29%29%2F%286%29+
x+=+%286%2B-+sqrt%28+12+%29%29%2F%286%29+
x+=+%286%2B-+2%2Asqrt%283%29%29%2F%286%29+
x+=+1%2B-+sqrt%283+%29%2F3+