Question

Use the method of Lagrange multipliers to find the largest and the smallest values of f(x,y) = 𝑥^2+ 𝑦^2 for points on the curve 3𝑥^4+ 2𝑥𝑦+𝑦^4 = 5 .

Answer 1

This is very similar to the one I did for you a few days ago. Did you refer to

https://tutorial.math.lamar.edu/classes/calciii/lagrangemultipliers.aspx

?? Where do you get stuck?