Find $\displaystyle \frac {\delta y}{\delta x} \, \left ( e^{-y} \right )$,

$\displaystyle = e^{-y} \cdot - \frac {\delta y}{\delta x}$

$\displaystyle = -e^{-y} \cdot \frac {\delta y}{\delta x}$, is this correct?

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- Dec 5th 2006, 09:02 AMashuradiff implicit functn
Find $\displaystyle \frac {\delta y}{\delta x} \, \left ( e^{-y} \right )$,

$\displaystyle = e^{-y} \cdot - \frac {\delta y}{\delta x}$

$\displaystyle = -e^{-y} \cdot \frac {\delta y}{\delta x}$, is this correct? - Dec 5th 2006, 09:04 AMThePerfectHacker
- Dec 5th 2006, 09:27 AMCaptainBlack
I don't know what conventions you have been taught, but to me your

notation doesn't mean anything.

It looks as though you are asked to find:

$\displaystyle \frac{d}{dx} e^{-y}$,

for which:

$\displaystyle \frac{d}{dx} e^{-y} = \frac{dy}{dx}\left(\frac{d}{dy}e^{-y}\right)=-e^{-y}\, \frac{dy}{dx}$.

RonL - Dec 5th 2006, 09:31 AMtopsquark
- Dec 5th 2006, 11:12 AMashura
Thanks for the correction Ronl.