optimization - Lagrange Multipliers to find the maximum and minimum values - Mathematics Stack Exchange
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Using Lagrange Multipliers I need to find the maximum and minimum values of the function $f(x,y,z)=x^2+y^2+z^2$ subject
to the given constraints: $g(x)= x^2/\alpha^2 +y^2/\beta^2 +z^2/\gamma^2=1$ and
![optimization - Lagrange Multipliers to find the maximum and minimum values - Mathematics Stack Exchange](https://i.stack.imgur.com/AMnh7.png)
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![optimization - Lagrange Multipliers to find the maximum and minimum values - Mathematics Stack Exchange](https://i.stack.imgur.com/xwfTj.png)
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![optimization - Lagrange Multipliers to find the maximum and minimum values - Mathematics Stack Exchange](https://i.stack.imgur.com/zkb2l.png)
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![optimization - Lagrange Multipliers to find the maximum and minimum values - Mathematics Stack Exchange](https://www.whitman.edu/mathematics/calculus_late_online/images/lagrange.png)
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![optimization - Lagrange Multipliers to find the maximum and minimum values - Mathematics Stack Exchange](https://i.stack.imgur.com/YDezi.png)
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![optimization - Lagrange Multipliers to find the maximum and minimum values - Mathematics Stack Exchange](https://www.statisticshowto.com/wp-content/uploads/2020/06/lagrange-multiplier-graph.png)
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![optimization - Lagrange Multipliers to find the maximum and minimum values - Mathematics Stack Exchange](https://i.stack.imgur.com/VTfQY.png)
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![optimization - Lagrange Multipliers to find the maximum and minimum values - Mathematics Stack Exchange](https://i.stack.imgur.com/EIwyO.png)
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