Question

What is the derivative of `f(x)=5`?

Answer 1

The derivative of `f(x)=5` is `0`.

Explanation:

We can calculate the derivative using the definition:

`f'(x_0)=lim_{h->0}(f(x_0+h)-f(x_0))/h`

`f'(x)=lim_{h->0}(5-5)/h=lim_{h->0}0/h=0`