Status: Waiting for your responses. Given:f(x) = 3x2 - 6x + 8Problem: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 3(x+h)2+(x+h)+8 - (3x2-6x+8) h h→0 f ' (x) = lim 3(x2+xh+h2)-6(x+h)+8 - (3x2-6x+8) h h→0 f ' (x) = lim 3x2+xh+3h2-6x-6h+8 + x2+6x-8 h h→0 f ' (x) = lim xh+h2+h h h→0 f ' (x) = lim h(x+h+) h h→0 f ' (x) = limx+h+ h→0 f ' (x) = x+