(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the critical points of [itex]f(x,y)=x+y^2[/itex] subject to the constraint [itex]g(x)=x^2+y^2=1[/itex]

2. Relevant equations

[itex]\nabla f=\lambda\nabla g[/itex]

[itex]g(x,y)=1[/itex]

3. The attempt at a solution

[tex]f_x=1=2\lambda*x\Rightarrow x=\frac{1}{2\lambda}[/tex]

[tex]f_y=2y=2\lambda*y\Rightarrow y(\lambda-1)=0\Rightarrow y=0 \\ or\\ \lambda=1[/tex]

[tex]x^2+y^2=1[/tex]

I am a little confused as to where I go from here?

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# Homework Help: LeGrange Multipliers Finding critical points of function

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