Question #ad56f Calculus Derivatives Limit Definition of Derivative 1 Answer P dilip_k Dec 31, 2016 x^2/(x^2-4) - (x+1)/(x+2) =x^2/((x-2)(x+2)) - (x+1)/(x+2) =(x^2- (x+1)(x-2))/((x-2)(x+2)) =(x^2- x^2+x+2)/((x-2)(x+2)) =(x+2)/((x-2)(x+2)) =1/((x-2) Answer link Related questions What is the limit definition of the derivative of the function y=f(x) ? Ho do I use the limit definition of derivative to find f'(x) for f(x)=3x^2+x ? How do I use the limit definition of derivative to find f'(x) for f(x)=sqrt(x+3) ? How do I use the limit definition of derivative to find f'(x) for f(x)=1/(1-x) ? How do I use the limit definition of derivative to find f'(x) for f(x)=x^3-2 ? How do I use the limit definition of derivative to find f'(x) for f(x)=1/sqrt(x) ? How do I use the limit definition of derivative to find f'(x) for f(x)=5x-9x^2 ? How do I use the limit definition of derivative to find f'(x) for f(x)=sqrt(2+6x) ? How do I use the limit definition of derivative to find f'(x) for f(x)=mx+b ? How do I use the limit definition of derivative to find f'(x) for f(x)=c ? See all questions in Limit Definition of Derivative Impact of this question 1489 views around the world You can reuse this answer Creative Commons License