Let f be a differentiable function and f (x)

Let f be a differentiable function and f (X) < O for all real numbers X. Function g is another real-valued function whose first derivative is known to be X2 9 v (X) . Which of the following statements is true? O g possesses two local minima located at X = 3 and X O g possesses two local maxima located at X = 3 and X O g possesses one local minimum at X = 3 and one local maximum at X O g possesses one local maximum at X = 3 and one local minimum at X (D The given data are insufficient to determine the local extrema of g.