# What is the derivative of #e^(lnx)#?

##### 1 Answer

May 29, 2017

#### Explanation:

We can also do this without first using the identity

Note that

So:

The derivative of

Then using the identity

Which is the same as the answer we'd get if we use the identity from the outset (which is what I recommend you do--this is just a fun way to show that "calculus works".)