Question: Let f ( x ) = x 3 6 x 2 - 1 5 x for xin [ - 2 , 6 ] . (

Let f(x)=x36x2-15x for xin[-2,6].
(a) Determine all critical points of f, that is, all the points x where f'(x)=0 or f'(x) is not defined.
(b) Using the first derivative test, find and classify any relative extrema of f.
(c) Find the absolute extrema of f.
Let f ( x ) = x 3 6 x 2 - 1 5 x for xin [ - 2 , 6

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