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 1337 views around the world You can reuse this answer Creative Commons License