(1)。k={[(a+h)²-3(a+h)+3]-(a²-3a+3)}/h=[(a²+2ah+h²-3a-3h+3)-(a²-3a+3)]/h=(2ah+h²-3h)/h=2a+h-3;(2)。k=h→0lim(2a+h-3)=2a-3; f '(a)=2a-3;(3)。f(x)=x²-7x+5,f '(x)=2x-7;∴f '(2)=4-7=-3;