Table of Contents
Definition of Differentiable
- the function has derivative
- the derivative f’(x) must exist for every value in the function’s domain
The use of differentiable function
When a function is differentiable, we can use all the power of calculus when working with it.
When a function is differentiable, it is continuous.
- Differentiable ⇒ Continuous
- However, a function can be continuous but not differentiable. (example 2)