Question

I solved this langrange multiplier question:
Using the method of Lagrange multipliers, find the maximum and minimum distances from the curve
2x^2+ xy + 2y^2= 8
to the origin.
I got all the points but is there a specific way to determine if a point is a max/min or should I just plug the points back into f to see if its a max/min(as in the highest value is max and lowest min)?

Answer 1

i have since done more questions, and it always seems like the highest value for f is the max and lowest is the min, is that right?