Let f(x) = 3 + 2x^2. If h ≠ 0, then the difference quotient can be simplified as f(x + h) - f(x)/h = Ah + Bx + C, where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.)
Find the constants. A = , B = , and C = .
Use the simplified expression to find f'(x) = lim(h→0) (f(x + h) - f(x))/h.
Finally, find each of the following: f'(1) = , f'(2) = , and f'(3) =