Letting f and g be two real-valued functions of a real variable which are twice differentiable and whose second derivatives are never zero, which of the followings statements is/are true in general? Select one or more: a. If f and g are concave upward on an interval I, so is f +gon I. b. If f is positive and concave upward on I, so is the function f(x)] on I c. If f and g are positive, increasing, concave upward functions on an interval I, then the product function fg is concave upward on I. d. If f and g are positive, decreasing, concave upward functions on an interval I, then the product function fg is concave upward on I. e. None

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