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I am stuck on what seems like a rather simple problem:

Let [tex]f:\mathbb{R}^3 \rightarrow \mathbb{R}[/tex] and [tex]g:\mathbb{R}^2\rightarrow \mathbb{R}[/tex] be differentiable. Let [tex]F:\mathbb{R}^2 \rightarrow \mathbb{R}[/tex] be defined by the equation

[tex]F(x,y)=f(x,y,g(x,y)).[/tex]

Find [tex]DF[/tex] in terms of the partials of [tex]f[/tex] and [tex]g[/tex].

I would greatly appreciate any help.

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# A multivariable chain rule problem

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