Question

+ 1. In all of this question let f(x) = + (a) Find f'(x) and simplify. [4 points) (b) Find the equation of the tangent line to the curve y = f(x) that is parallel to the line 110 + 64y = 75 and whose point of tangency (C,y) satisfies x, y > 0. Give your answer in the form Ac + By = C where A, B, C are integers and A >0.R [7 points) (c) Assume g is a differentiable function such that g(0) = g(2) = 9' (2) = 2 and g'(0) = 4. Find A when x = 0 where A(x) = g(x)g(f(x)). 15 points)