Use implicit differentiation to find dy/dx and d2y/dx2. 5) 4 y - y = 2x A) dy 2 2 : day 2 y B). dy _ 2 y . day 4 dx dx 2 dx -2 - y dx2 (2 - ~y)3 C)- dy 2 y . day 2 - 2-y D) dy _2 - y day_2 - y dx 2 - y dx2 Vy(2 - y)2 dx 2-y dx2 4y ESSAY. You must show your work. Write your answer in the space provided or on a separate sheet of paper. Solve the problem. 6) The position of a particle moving along a coordinate line is s = 4 + 12t with s in meters and t in seconds. Find the particle's acceleration at t = 1 sec. Given y = f(u) and u = g(x), find dy/dx = f(g(x))g'(x). 7) y = 4 42 U = 4x - 3 Use implicit differentiation to find dy/dx and d2y/dx2. 8) x2 + y2 = 5, at the point (2, 1)