1. (15 pts) Consider the function defined by, 3x + a when x 2 a) (10 points) Find the values for the parameters a and b E R such that the function is differentiable for any r E R. State clearly the conditions you use. Do not use derivative rules, just limits. b) (5 points) With the same values of a and b previously found, show that the function g(x) = f'(x) is not smooth. (Note, full points if done correctly, even with wrong values of a and b)