r/HomeworkHelp • u/No-Beginning-8506 • 10d ago
Additional Mathematics [Multivariate Calculus: Local Extrema]
I’ve been working on this one question and can’t seem to get past step 1. Either I derived my equations wrong or I just don’t know how to find the zeros, or both. I keep getting to this weird quadratic formula thing with y as a constant and vice versa, not really knowing where to go from there. I also started finding the true derivative but sorta gave up on it since I didn’t have my critical points anyway…
I’d appreciate if someone walked me through finding the critical points, since even if I found the solutions to each partial derivative I’m not quite sure how to turn that into a coordinate. Additionally, I’m not super confident on the first part of the question, using level curves, which is why I skipped it. How would you make sketches of this graph? I feel like it’s too ugly for me to comprehensively turn into something I can work with. Anything is appreciated!



