In the interval \([-5,5]\), if
\[
f(x)=(x+3)^2(x-2)^3
\]
is increasing on
\[
S=\{x\mid -5\le x<\alpha \text{ and } \beta<x\le5\},
\]
then \(f(\alpha)-f(\beta)=\) ?
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After finding critical points, always make a sign chart for \(f'(x)\) to identify increasing and decreasing intervals.