Question

How do I find the derivative of `y = e^ln(x)`?

Answer 1

`dy/dx=1`

Explanation:

`y=e^(lnx)=x`. (By properties of logs).

`therefore dy/dx=d/dx x = 1`.

Alternatively, we may apply the derivative of the whole function before simplifying it and will get the same final answer :\

`d/dx e^(lnx)=e^(lnx)*1/x`

`=x*1/x`

`=1`.