Question 1. Differentiation 1. Consider the function f(x) = 2 -et on [-1, 1), and a point a e [-1, 1]. Consider the triangle formed by the tangent line to f at a, and the lines x = 0 and y = 0. Find the points a such that the triangle has an area of exactly 4/e. If necessary, approximate the value a to 3 places after the decimal.' 2. Suppose that the tangent line to the graph of f(x) = 20') at x = 1 is equal to the tangent line to the graph of g(x) = 2 In(ex + e-2:") -2In(2) -1 at x =0. What is the value of the positive constant b, and what is the equation of the tangent line