# How do you find the derivative using limits of #f(x)=3#?

##### 1 Answer

Dec 15, 2016

#### Explanation:

The definition of the derivative of

# f'(x)=lim_(h rarr 0) ( f(x+h)-f(x) ) / h #

So with

# \ \ \ \ \ f'(x) = lim_(h rarr 0) ( (3) - (3) ) / h #

# " " = lim_(h rarr 0) 0 #

# :. f'(x) = 0 #