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Find the absolute maximum and absolute minimum values

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Reference no: EM13978324

Find the absolute maximum and absolute minimum values of the function 

f(x) = x3 + 6x2  63x + 11
f'(x) = 3x2 + 12x  63
Putting f' (x) = 0, we get
3x2 + 12x  63 = 0
x2 + 4x  21 = 0
(x + 7) (x  3) = 0
x =  7, 3  critical points of this function

(A) Interval = [-8, 0]. The critical point in this interval is x = -7
(B) Interval = [-5, 4]. The critical point in this interval is x = 3
(C) Interval = [-8, 4]. Critical points in this interval are: x = -7, 3

Reference no: EM13978324

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