Consider the function f(x) = x^(2)e^(5x)For this function there are three important open intervals: ( - ∞, A), (A, B), and (B,∞)

Question

Consider the function f(x) = x^(2)e^(5x)For this function there are three important open intervals: ( - ∞, A), (A, B), and (B,∞) where A and
B are the critical numbers.
Find A______________  and    B_____________
For each of the following intervals, tell whether f(x) is increasing or decreasing.
(- ∞,A): ___________
(A, B): ____________
(B,∞):____________

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