How do you use the limit definition of the derivative to find the derivative of #f(x)=-4#? Calculus Derivatives Limit Definition of Derivative 1 Answer Eddie Sep 1, 2016 see below Explanation: #f'(x) equiv lim_(h to 0) (f(x+h) - f(x))/(h)# In this case: #f'(x) = lim_(h to 0) (- 4 - (- 4))/(h)# # = lim_(h to 0) (0)/(h) = 0# 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 1047 views around the world You can reuse this answer Creative Commons License