Math
posted by Olivia .
The derivative of a function is f'(x)=x(x+2)(x5). Find the value of x at each point where f has a
(a) local maximum,
(b) local minimum, or
(c) point of inflection

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