# How do you use the definition of a derivative to find the derivative of #f(x) =e^x#?

##### 2 Answers

Using

#### Explanation:

As

**The ratio approximates to #1# hence**

The derivative of

from power rules

you can use taylor series to have an excellent approximation of

*when*

which is

at your level when you're blocked, think to use taylor series, it can be very useful.

Maybe you will tell me "Yeah you're right but you used taylor series, which are created by using formula with derivate of