10. Let f and g be differentiable functions for which the following information is known. f (2) = 5, 9(2) = -3, f'(2) = 2. 9'(2) = 2 a. Let h be the new function defined by the rule h(x) = g(x)f (x). Determine h(2). b. Using the same h(x) from part a, Determine h'(2). c. Find an equation for the tangent line to y = h(x) at the point (2, h(2)), where h(x) is the function defined in part a. d. Let r(x) be the function defined by the rule r(x) = () f (x) Is r increasing, decreasing, or neither at a = 27 Explain how you know. e. Find an equation for the tangent line to y = r(x) at the point (2, r (2)), where r(x) is the function defined in part d. f. Using your equation in part d as an approximation of r (x ) near 2, approximate the value of r (2.06)