ENGG MATH 2 PRELIM QUIZ NO . 2 TOPIC: The Derivative and Differentiation Objective: This activity is designed to assess the student's ability to Solve problems involving the Derivative and Differentiation (TLO 2) Write down your complete solutions. Enclose all final answers in a rectangle. I. Obtain the Derivatives of the given functions (15 points each) 1. g(2) = (4+ 1)3 2. f(x) = Vx2 + VI+4x Il. Application of Derivatives (15 points each) 3. Find the tangent line to f (x) = (2 - 4x?) at x = 1. 4. Let V(t) be the amount of air in a balloon at any time t, find out whether the balloon is being filled with air or being drained of air at t=8. 67/t V (t) = At + 1 Ill. Solve for the derivatives implicitly. (10 points each) 5. Ary' - 21 = 25 + 4y3 6. IV. Obtain the 2nd Derivative of the given function. (20 points) 7. 4y - xy? = 1