X g(x) 8'(x) -5 10 -3 -4 5 -1 -3 2 4 -2 3 O -1 -2 0 0 -3 Graph of h Let f be the function defined by f (x) = cos (2x) + esin x Let g be a differentiable function. The table above gives values of g and its derivative g' at selected values of x. Let h be the function whose graph, consisting of five line segments, is shown in the figure above. (a) Find the slope of the line tangent to the graph of fat x = n. (b) Let k be the function defined by k(x) = h(f(x)). Find k'(n). (c) Let m be the function defined by m(x) = g(-2x) . h(x). Find m' (2). (d) Is there a number c in the closed interval [-5, -3] such that g'(c) = -4 ? Justify your