Hello hello. In class we went over the ''mini-chain rule'' once, and haven't gone over the real chain rule yet. I really want to understand how to go about solving this equation, and to really understand what is happening here.(adsbygoogle = window.adsbygoogle || []).push({});

x=u^{3}-3uv^{2}

y=3u^{2}v-v^{3}

z=u^{2}-v^{2}

Define z as a function of x and y. Determine delZ/delx at the point (u,v) = (2,1) which corresponds to the points (x,y) = (2,11)

I can see from the last point that points (u,v) = (x(u,v), y(u,v))

f(x,y) should equal z. I am just confused how to interpret this with z = u^{2}-v^{2}.

Since I received this as homework, I am guessing it can be done with partial derivatives. Any insight into this would be welcomed!

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# Homework Help: Multivariable Chain Rule

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