# Multivariate Calculus: multivariate calculus – #22699

Question: Suppose $$f\left( x,y \right)={{x}^{3}}+A{{y}^{3}}-Bxy+3x+y$$ Is it possible to find values for both A and B such that the function f has a saddle point at (2,3)? Either explain why it is not possible or find values for A and B that work.