1. Consider the following function: y = f(x) = In (212 + 6x + 5), for x 2 0 (a) Calculate f'(0), f' (1), f' (2). (b) Find the tangent line at x = 1. 2. Consider the following function: y = f(x) =x - 1416 (a) Determine in which regions this function is increasing or decreasing. (b) Determine in which regions this function is concave or convex. 3. Given that a is a parameter, differentiate the following functions with respect to a: (a) y = f(x) = (-2x+ 5)3 (b) y = f(x) = ear