- #1
Skrew
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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.
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 what's going?
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 what's going?