What is the relative max/min of g’(x) = (x + 4)eˣ

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Find the critical point by setting g'(x) to 0:

Set each factor equal to 0:

Therefore, the only critical point is at x = -4. Test to see whether this is a relative min or max by plugging in values on both sides into the equation for g'(x):

The graph changes from - to + at x = -4, so there is a relative minimum at x = -4.

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