Find the ?rst and second derivative of each function and determine whether each function is convex or concave. If it is both, ?nd the ranges for which it is convex and ranges for which it is concave:
(a) f(x) = x^2 − 3x + 12
(b) f(x) = 6x^(1/2) + 1 ; 0 < x < ∞
(c) f(x) = x^3 − 4x^2 + 4x – 4