We consider two variables x and f(x) = y. Calculate the elasticity of y with respect to x for each of the following functions at x = 1. For functions that are not linear, both f(x) and the derivative f′(x) are provided. For this problem, you must calculate the derivative, not estimate it using pairs of points. See the elasticity recording for more information. a) f(x) = 201 − x. 100 b) f(x) = 20 + 30x. c)f(x)=x2 and f′(x)=2 x. d) f(x) = ln(x + 1) and f′(x) = 1 . Hint: ln(2) is approximately .693. x+1