Given that f(x) = 2x3-3x2-72x,
determine which x-values correspond to local minimums.
1) Local minimum at x = -3
2) Local minimum at x = 4
3) Local minimum at x = -3 and x = 4
4) None
for critical points
second derivative test
at x=-3
so x=-3 is local maximum
at x=4
so x=4 is local minimum
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