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 .

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 .

oobleck · Answer

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?