Question 1: Problem 1 (5 points). Compute the derivatives of the following functions. (a) f(z) = e5-sin(z). 13 (b) q(t ) = 1+t (c) g(u) = cos(u)sin(u?) Problem 2 (5 points). Find the equation of the tangent line to y2e2x - 12 = 3y at the point (0, 3). (Hint. Use implicit differentiation.) Question 2: Problem 1 (5 points). Compute the derivative f'(x) of the function f(x) = 312 using the differ- ence quotient definition of the derivative (don't use the product rule). Problem 2 (5 points). (a) Using any method you want, calculate the derivative of the function h(t) = 2+3 - 3+2 + 4Vt. at t = 4. (b) A racecar is set on a straight track, and begins driving at time t = 0 seconds. At each time t > 0 seconds, the position of the racecar is z ( t ) = t+ +1/3 + 5+1/5 meters beyond the start point x = 0. What is the velocity of the racecar at time t - 1