Posted by PLEASE HELP on Wednesday, April 17, 2013 at 9:43pm.
Determine the maximum and minimum of each function on the given interval.
a) = 2x^3 − 9x^2 ,−2 ≤ x ≤ 4
b) = 12x − x^3 , x∈ [−3,5]

CALC  Reiny, Wednesday, April 17, 2013 at 10:53pm
I will do the first one, you do the second in the same way
a) y = 2x^3  9x^2 , 2 ≤ x ≤ 4
dy/dx = 6x^2  18x
= 0 for a max/min
6x(x3) = 0
x = 0 or x = 3, both are within our given domain
if x = 0 , y = 0
if x = 3 , y = 56  81 = 27
so the max is 0 and the min is 27

CALC  Reiny, Wednesday, April 17, 2013 at 10:56pm
should have checked the end points
if x = 2 , y = 16  36 = 52
if x = 4 , y = 16
revised answer:
the max is 0 and the min is 52 within the given domain.
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