---

Status: Waiting for your responses.

Given: f(x) = 2x2 - 5x + 2 Problem: Determine the derivative of f(x) using the definition of a derivative. f ' (x) = lim f(x+h) - f(x) h h→0 f ' (x) = lim 2(x+h)2+(x+h)+2 - (2x2-5x+2) h h→0 f ' (x) = lim 2(x2+xh+h2)-5(x+h)+2 - (2x2-5x+2) h h→0 f ' (x) = lim 2x2+xh+2h2-5x-5h+2 + x2+5x-2 h h→0 f ' (x) = lim xh+h2+h h h→0 f ' (x) = lim h(x+h+) h h→0 f ' (x) = lim x+h+ h→0 f ' (x) =   x+