algebra
posted by Anissa on .
Find the max or min value for y given the restictions on x.
y= x^3 x^2 6x
a) 0<x<3 min
b) 2<x<0 max

what is tttt?

y = x^3  x^2  6x = 0(x+2)(x3)
y' = 3x^2  2x  6
y' = 0 at approximately 1.7, 1.1 (1 + sqrt(19))/3.
Knowing what we do about the shape of cubics, we can say that a local max is at x=1.1, and a local min is at x=1.7
Note how the given intervals correspond to exactly one "hump" of the graph, so the local min/max is the min/max for that interval. 
I don't understand the y' stuff. I'm only in algebra. Is there another way?

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