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?

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# Partial derivatives after a transformation

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