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Status: Waiting for your responses.

Given: f(x) = -4x2 - 8x - 4 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 -4(x+h)2+(x+h)-4 - (-4x2-8x-4) h h→0 f ' (x) = lim -4(x2+xh+h2)-8(x+h)-4 - (-4x2-8x-4) h h→0 f ' (x) = lim -4x2+xh-4h2-8x-8h-4 + x2+8x+4 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+