Posted by **felix** on Sunday, January 2, 2011 at 9:06pm.

If g is a differentiable function such that g(x) is less than 0 for all real numbers x and if f'(x)=(x2-4)g(x), which of the following is true? f has a relative maximum at x=-2 and a relative minimum at x=2, f has a relative minimum at x=-2 and has a relative maximum at x=2, f has relative minima at x=-2 and at x=2, f has a relative maxima at x=-2 and at x=2, or it cannot be determined if f has any relative extrema

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