Find the points at which the function f(x,y,z)=x^8+y^8+z^8 achieves its minimum on the surface x^4+y^4+z^4=4.(adsbygoogle = window.adsbygoogle || []).push({});

I know

8x^7=(lamda)4x^3

8y^7=(lamda)4y^3

8z^7=(lamda)4z^3

x^4+y^4+z^4=4

Case1: x not equal to 0, y not equal to 0, and z not equal to 0

I get 3(4th root of 4/3 to the eigth)???

I'm I doing this right?

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# LaGrange Multiplier

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