# How do you find the derivative of #y=lne^x#?

##### 2 Answers

Dec 5, 2016

#### Explanation:

We should know for this approach that

Applying the chain rule to this derivative tells us that if we were to have a function

So we see that

Since

#d/dxln(e^x)=1/e^x*e^x=1#

Dec 5, 2016

#### Explanation:

The logarithm function and exponential functions are inverse functions--they undo one another! This means that

Recall that the function

#y=ln(e^x)=log_e(e^x)=x#

So

#dy/dx=1#