Using the graph below where f (x) is the red function and 900 is the purple function, find the following. a. Ifs(x) = f(x) + g(x), find s'(5) b. Ifd(x) = f(x) g(x), finds'(5) c. pr(x) = f(x)g(x), find p'(13) d. _ f(x) . If T(x) gm, find 1(2) If C(x) = f(g(x)), find c'(13) What is one value where f'(x) does not exist. Explain your reasoning. FD {"7 4) Let f(x) = 5x10 - 6x4 + 8x a. Write the general equation for the tangent line to the curve y = f(x). (The definition of equation of tangent line) b. Find f (-1) c. Find f' (-1) d. Find the equation of the tangent line to the curve y = f(x) at x = -1 e. Find f (1) f. Find f' (1) g. Find the equation of the tangent line to the curve y = f(x) atx = 1 h. Find f' (x) i. Find the general equation of the tangent line to the curve y = f(x) atx = a