Posted by **Olivia** on Sunday, November 25, 2012 at 8:02pm.

The derivative of a function is f'(x)=x(x+2)(x-5). Find the value of x at each point where f has a

(a) local maximum,

(b) local minimum, or

(c) point of inflection

- Math -
**Steve**, Sunday, November 25, 2012 at 9:05pm
there are max/min at x = -2, 0, 5

f''(x) = 3x^2 - 6x - 10

at -2, 0, -5, f'' = 14, -10, 95

so, min at x = -2

max at x = 0

min at x = 5

inflection at 1±√39/3

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