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If f is a differentiable function such that f′(x) = (x^2− 16)*g(x), where g(x)>0 for all...

If f is a differentiable function such that f′(x) = (x^2− 16)*g(x), where g(x)>0 for all x, at which value(s) of x does f have a local maximum?

1. At both x=-4,4

2. Only at x=-16

3. Only at x=4

4. At both x=-16,16

5. Only at x=-4

6. Only at x=16

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