calculus2-2s: Problem 14 (5 points) If Vc - 5 f(x) = Va +5 find f'(I) f'(I) = Find f'(3 ). f'(3) =calculus2-2s: Problem 12 (5 points) Find f'(x) using the QUOTIENT RULE if f(I) : 7 - 12 2+ 22 f'( I ) = 1 Find f'(5) f' (5 ) =]calculus2-2s: Problem 16 (5 points) Suppose that F(x) = f(g(x)) and g(3) = 6, g'(3) = 4, f'(3) = -10, and f'(6) = 7. Find F'(3) F'(3) =calculus2-2s: Problem 17 (5 points) Let f(x) = (x+ 4x + 6)4 f' (I ) = f' ( 3 ) =calculus2-2s: Problem 20 (5 points) Let F(x) = f(f(x)) and G(x) = (F(x) ) and suppose that f(7) = 13, f(13) = 2, f'(13) = 13, f'(7) = 3 Find F' (7) and G'(7). F'(7) G' (7) =calculus2-2s: Problem 25 (5 points) Given that f'(r) - v2r + 4 and g(x) = x- - 1, find F(x) if F(x) = f(g(x)) F (I)calculus2-2s: Problem 26 (5 points) Let the function f(x) have the property that f'(x) = = g. If g(x) = f(x2) find g'(x). 9(I) =calculus2-2s: Problem 29 5 points) The displacement of a particle on a vibrating string is given by the equation s(t) = 12 + -sin(67t), where s is measured in centimeters and t in seconds. Find the velocity of the particle after t seconds. v(t ) = 1