## AmTran_Bus one year ago Log differentiation?

1. AmTran_Bus
2. AmTran_Bus

But which one matches the one from wolfram?

3. AmTran_Bus

I really think it is a.

4. xapproachesinfinity

you are trying to differentiate $y=x^{\frac{2}{x}}$

5. AmTran_Bus

yep

6. xapproachesinfinity

what did you do so far?

7. AmTran_Bus

typed in wolfram.

8. xapproachesinfinity

hehe i mean on your own

9. xapproachesinfinity

if you know already the answer from wolfram why are you still needing help

10. AmTran_Bus

The answer from wolfram dont match one of the choices I posted. Can you check for me

11. xapproachesinfinity

hmm interesting! so wolfram given you an retriceanswer

12. AmTran_Bus

Its just in a different form.

13. xapproachesinfinity

well you could start with $\Large y=e^{2\frac{\ln x}{x}}$

14. xapproachesinfinity

that base change performed there

15. xapproachesinfinity

now you can differentiate it can you not?

16. xapproachesinfinity

$D(e^u)=\frac{du}{dx}e^u$

17. xapproachesinfinity

chain rule

18. xapproachesinfinity

so it would be $\Large y'=D(2\frac{\ln x}{x})e^{2\frac{\ln x}{x}}$

19. xapproachesinfinity

D mean derivative

20. xapproachesinfinity

seems to me it will get to one of your answer choices