(1) Functions f, g, and h are continuous and differentiable for all real numbers, and some of their values and values of their derivatives are given in the table below. X f ( x) g (x) h(x) f' (x) g' (x) h' (x) O 1 -1 -1 4 1 -3 0 3 -7 2 3 6 2 3 0.5 4 -2 Show your work to justify the solutions to the following problems. (a) Find F'(1) if F(x) = h(x) . e-3f(x) (b) Find G'(2) if G(x) = cos [n . g(x)] (h(x)) 2 (c) Find H'(0) if H(x) = e f(x)) (d) Find I'(2) if I(x) = In[f (x) . g(x)] f ( x) (e) Find J'(0) if J (x) =- h (x)