Suppose I have a transformation(adsbygoogle = window.adsbygoogle || []).push({});

[tex](x'_1,x'_2)=(f(x_1,x_2), g(x_1,x_2))[/tex] and I wish to find [tex]\partial x'_1\over \partial x'_2[/tex] how do I do it?

If it is difficult to find a general expression for this, what if we suppose [itex]f,g[/itex] are simply linear combinations of [itex]x_1,x_2[/itex] so something like [itex]ax_1+bx_2[/itex] where [itex]a,b[/itex] are constants?

**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!

# Partial derivatives after a transformation

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