Question

How do you use the limit definition of the derivative to find the derivative of `f(x)=-4`?

Answer 1

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`