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Mathematics 16 Online
OpenStudy (amtran_bus):

Log differentiation?

OpenStudy (amtran_bus):

But which one matches the one from wolfram?

OpenStudy (amtran_bus):

I really think it is a.

OpenStudy (xapproachesinfinity):

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

OpenStudy (amtran_bus):

yep

OpenStudy (xapproachesinfinity):

what did you do so far?

OpenStudy (amtran_bus):

typed in wolfram.

OpenStudy (xapproachesinfinity):

hehe i mean on your own

OpenStudy (xapproachesinfinity):

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

OpenStudy (amtran_bus):

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

OpenStudy (xapproachesinfinity):

hmm interesting! so wolfram given you an retriceanswer

OpenStudy (amtran_bus):

Its just in a different form.

OpenStudy (xapproachesinfinity):

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

OpenStudy (xapproachesinfinity):

that base change performed there

OpenStudy (xapproachesinfinity):

now you can differentiate it can you not?

OpenStudy (xapproachesinfinity):

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

OpenStudy (xapproachesinfinity):

chain rule

OpenStudy (xapproachesinfinity):

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

OpenStudy (xapproachesinfinity):

D mean derivative

OpenStudy (xapproachesinfinity):

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

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