I have been reading about Lagrange Multipliers, my book along with wiki and other resources I have read use an intuitive argument on why the max/min contour lines end up tangent to the constraint equation.(adsbygoogle = window.adsbygoogle || []).push({});

I don't really understand it, especially considering the obvious flaw as shown by the below,

F(x,y) = sin(x*y),

subject to, x^2 + y^2 = 6

The picture is the graph of the contour lines of F(x,y) along with the constraint.

The max and min values of F(x,y) are obviously not at the places the contour lines are tangent to the constraint.

So I was wondering if anyone could explain whats going?

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

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Lagrange Multipliers

Loading...

Similar Threads - Lagrange Multipliers | Date |
---|---|

I Values of Lagrange multipliers when adding new constraints | Oct 31, 2017 |

I Optimizing fractions and Lagrange Multiplier | Aug 14, 2017 |

I Lagrange Multiplier. Dealing with f(x,y) =xy^2 | Oct 7, 2016 |

I Lagrange multipliers and critical points | Aug 17, 2016 |

I Lagrange Multiplier where constraint is a rectangle | May 4, 2016 |

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