2 f'(x) 2 3 6 2 The graph of f'(x) shown above is a twice-differentiable function on the closed interval of [-4, 4]. The function is defined for all real numbers such that f (0) = -1 and f (-4) = 8. (5 points part a; 5 points part b) a) Let g(x) = [f(x)]. Find the derivative for g (a) and use it to find the slope of the line tangent to g(x) at x=0. b) Let h (x) = In(f(x)). Find the derivative for h (x) and the value of h' (-4). Show the computation that leads to your answer.