SOLUTION: f(x)= x^3-3x^2-9x+5 find and classify all stationary points. sketch the graph of fx.

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Question 1032465: f(x)= x^3-3x^2-9x+5
find and classify all stationary points.
sketch the graph of fx.

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
==> f'(x) = .
The stationary points are where f'(x) is zero.
Hence let .
==> x = 3, -1.
Now f"(x) = 6x-6 ==> f"(3) = 12 > 0 ==> local min at x = 3.
f"(-1) = -12 < 0 ==> local max at x = -1.

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