## anonymous 4 years ago Derivative problem.

1. anonymous

$y = e ^{\ln x}$

2. anonymous

(e^1nx)/x

3. anonymous

Khan Academy says the answer is 1. but how. I got the answer $1\div x e ^{\ln x}$

4. anonymous

how can they get a number answer when there is a variable x....?

5. anonymous

nvm, i belive there is a rules for e^lnx, which can be expressed in different form- im not sure what is it =(

6. anonymous

7. anonymous

I see

8. anonymous

got it, e^lnx is equal to x.. so derivative of x is 1

9. anonymous

e^ln(x) by itself is = x d/dx of x is 1

10. anonymous

iHelp's got it, yup