(2) Calculate, step-by-step, the first and second derivatives and the maximum value of the following functions. You may assume that the maximum points exist in all cases. (a) f(x) = -2x2 + 10x - 8, x E [3, 5] (b) f(ac) = 10- 2,, 2 E [5, 10 (c) f(x) = -ex + 6ex, 2 E (-00,00) (d) f(x) = - In(x2 + 2ac + 2), 2 E (-00, 00)