2 Functions f, g, and h are twice-differentiable functions with g(2) = M2) = 4. The line y = 4 + 3(x 2) is tangent to both the graph of g at x = 2 and the graph of h at x = 2. (a) Find h'(2). (b) Let a be the function given by a(x) = 3x3h(x). Write an expression for a'(x). Find a'(2). 2 4 x for x at 2. It is known that lim h(x) can be evaluated using 1 (x)? H2 L'Hospital's Rule. Use lim h(x) to nd f (2) and f'(2). Show the work that leads to your answers. x>2 (c) The function h satises h(x) =