Question: can someone help please? there's 2 short questions- Multiple choice: if g is a differentiantable function such that g(x) < 0 for all real numbers

can someone help please? there's 2 short questions- Multiple choice: if g is a differentiantable function such that g(x) < 0 for all real numbers x, and if f'(x) = (x^2-9)g(x), which of the following is true? A) f has a relative maximum at x=-3 and a relative minimum at x=3 B) f has a relative minimum at x=-3 and a relative maximum at x=3 C) f has a relative minima at x=-3 and at x =3 D) f has a relative maxima at x=-3 and at x=3 THEN there is one more .. it says.. Let f be the function given by f(x)=3In (x^2+2)-2x with domain[-2,4] a)find the x coordinate of each relative maximum point and each relative minimum point of f. Justify your answer b)find the x coordinate of each point of inflection of the graph of f c)find the absolute maximum value or f(x)

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