Hello all,(adsbygoogle = window.adsbygoogle || []).push({});

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.

**Physics Forums - The Fusion of Science and Community**

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!

# A multivariable chain rule problem

Loading...

Similar Threads - multivariable chain rule | Date |
---|---|

I Chain rule in a multi-variable function | May 7, 2016 |

Chain rule and multivariable calculus | Nov 3, 2015 |

Multivariable Calculus - chain rule on vectors | Sep 10, 2013 |

Multivariable Chain rule for higher order derivatives | May 9, 2013 |

Chain Rule and Multivariable Calculus Question | Jan 11, 2012 |

**Physics Forums - The Fusion of Science and Community**