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updated calciii notes

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Lucas Rufkahr
2026-03-03 09:40:49 -06:00
parent a47803306b
commit c8148d210f
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content/calculus/function-of-several-variables.md
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@@ -58,5 +58,6 @@ To find absolute extremas using lagrange multipliers:
2. Find the gradient of \(g\) 2. Find the gradient of \(g\)
3. Set \(\nabla f(x,y) = \lambda \nabla g(x,y)\) 3. Set \(\nabla f(x,y) = \lambda \nabla g(x,y)\)
4. Solve the system for \(x\) and \(y\) of \(\nabla f(x,y) = \lambda \nabla g(x,y)\) and \(g(x,y) = 0\). 4. Solve the system for \(x\) and \(y\) of \(\nabla f(x,y) = \lambda \nabla g(x,y)\) and \(g(x,y) = 0\).
5. Evaluate the points you've found in \(f(x,y)\). The largest value is the absolute maximum. The smallest value is the absolute minimum. - Determine \(x\) and \(y\) for each case of \(\lambda\).
5. Evaluate the points \((x,y)\) you've found in \(f(x,y)\). The largest value is the absolute maximum. The smallest value is the absolute minimum.