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basic lagrange multiplier question! maximum/minimum of \(f(x,y)=x^2-y^2\) subject to \(x^2+y^2=2\)
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hmm...Constrained Optimization
Start by taking the gradient of both functions... \[\nabla f(x,y)=2x i-2yj\]\[\lambda\nabla g(x,y)=2x \lambda i+2y \lambda j \] \[2x=2xλ\]\[\lambda=1\]\[-2y=2yλ\]\[\lambda=-1\]
that's where I am stuck
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