Let g(t) = f(tx, ty).(adsbygoogle = window.adsbygoogle || []).push({});

Using the chain rule, we get [itex] g'(t) = (\frac{\partial f}{\partial x})(tx, ty) * x + (\frac{\partial f}{\partial y})(tx, ty) * y [/itex]

this was actually part of a proof and what i don't understand is that why didn't they write [itex] (\frac{\partial f}{\partial (tx)}) [/itex] and [itex] (\frac{\partial f}{\partial (ty)}) [/itex]? i know that the factors of x and y come from [itex] (\frac{\partial (tx)}{\partial t}) [/itex] and [itex] (\frac{\partial (ty)}{\partial t}) [/itex] respectively, but why aren't the other 2 partial derivatives with respect to tx and ty? what happened to the t's?

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# Confusion on the chain rule

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