question archive If f is a differentiator function such that f'(x)=(x^2-9)g(x), where g(x)<0 for all x, at which value(s) of x does f have a local minimum?

If f is a differentiator function such that f'(x)=(x^2-9)g(x), where g(x)<0 for all x, at which value(s) of x does f have a local minimum?

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If f is a differentiator function such that f'(x)=(x^2-9)g(x), where g(x)<0 for all x, at which value(s) of x does f have a local minimum?

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