X -2 -2

x g(x) g'(x) -2 12 5 2 Positive Negative Negative Positive -1 8 O o Positive Negative Positive Positive 2 o 3 O Positive Positive Positive Negative 3 7 1 -2 The twice-differentiable functions f and g are defined for all real numbers x. Values off, f', g, and g' for various values of x are given in the table above. (a) Find the x-coordinate of each relative minimum of f on the interval [2, 3]. Justify your answers. (b) Explain why there must be a value c, for 1 < c < l, such that = O. (c) The function h is defined by h(x) = Find h'(3). Show the computations that lead to your answer.