For number 1 through 6 show all your work. Read each problem carefully. 1. (6pts) Given f (3) = 5, f'(3) =-2, g(3) =-3, g'(3) =4, what is (fg) (3) ? 2. (8pts) Given f (3) = 5, f'(3) =-2, 8(3) = -3, 8'(3) =4, what is 3. (12pts) Given f (2) = 7, f'(5) = -8, 8(2) = 5, g'(2) = -4, what is (f(8(2))) ? 4. (14pts) Evaluate f'(2) where f (x) = vx using the definition of the derivative. Keep your answer exact. 5. (14pts) Find the equation of the tangent line to the graph of f(x) = x -3x+lat x=4. Express your answer in the form y = mx + b. You can compute the derivative the fast way. 6. Differentiate each function. a. (6pts) f(x) = x'cosx b. (8pts) f(x) = cot.x (Simplify as much as possible) c. (10pts) f(x) = Vx+sinx d. (10pts) f (x) = cos (x' ) Number 7 is below