Question: Let the function f ( x ) = 2 x 3 + 3 x 2 12 x 2be defined on[4 , 3] . a) Find

Let the functionf(x) = 2x3+ 3x212x2be defined on[4 , 3]

.

a) Findf'(x)and all the critical points of f algebraically

b) Find the coordinates of the endpoints off

c) Find the location of the absolute and relative extrema off. Justify your answer (use the first or second derivative test if needed).

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