Given that [tex] \frac{dx}{dy} = (\frac{dy}{dx})^{-1}\\ [/tex], differentiate throughout with respect to x and show that [tex] \frac{d^2x}{dy^2} = \frac{- \frac{d^2y}{dx^2}}{(\frac{dy}{dx})^3}\\[/tex].(adsbygoogle = window.adsbygoogle || []).push({});

An attempt: [tex] \frac{d^2 x}{dx dy} = \frac{d (\frac{dy}{dx})^{-1}}{dx} \\ [/tex].

I need help to get me started. Thanks for the help.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Simple Differential problem

**Physics Forums | Science Articles, Homework Help, Discussion**