Ask your own question, for FREE!
Calculus1 18 Online
OpenStudy (anonymous):

find F'(x) when f(x)=e^-(lnx)

OpenStudy (anonymous):

@satellite73

OpenStudy (anonymous):

@Callisto

OpenStudy (adamaero):

derivative(e^x) = e^x except just multiply by the derivative of what it's raised to for more than just x

OpenStudy (anonymous):

e^-(lnx)=e^(ln 1/x)=1/x derivative of 1/x=-1/x^2.

OpenStudy (anonymous):

hmmm \[-\ln(x)=\ln(\frac{1}{x})\]

OpenStudy (anonymous):

@tom982 it is 1/x

OpenStudy (adamaero):

e.g., y = e^2x y' = 2e^2x

OpenStudy (anonymous):

and \[e^{\ln(\frac{1}{x})}=\frac{1}{x}\]

OpenStudy (jhannybean):

@Princer_Jones has it.

OpenStudy (jhannybean):

And instead of writing `F'(x)` you should have f'(x). F(x) can mean something totally different.

OpenStudy (anonymous):

@satellite73 I did solve and answer is -x^(-2) but it is worn g

OpenStudy (anonymous):

@Jhannybean , oh sorry but I mean f'(x)

OpenStudy (anonymous):

any thought plz

OpenStudy (anonymous):

@HASSAN(x) i already solved it. do check. and @satellite73 also gave the idea

OpenStudy (jhannybean):

Follow how @Princer_Jones solved it in his post, then compare your work.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!