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 1275 views around the world You can reuse this answer Creative Commons License