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Use this tag for questions about differential and integral calculus with more than one independent variable. Some related tags are (differential-geometry), (real-analysis), and (differential-equations).
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Showing that $f(x,y)=(\lvert x\rvert -\lvert y\rvert)\log\left(2x^2+\lvert y\rvert\right)$ h...
I have an exercise asking to find the local extrema of $$ f(x,y)=(\lvert x\rvert -\lvert y\rvert)\log\left(2x^2+\lvert y\rvert\right)$$if they exist... Wolfram Alpha tells me they don't, but I think I …
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If a complicated function $F$ satisfies $F(x,y)=R(x,y)$, where $R$ is a rational function, c...
Say $F$ is a complicated real function of two variables, of which we know just a defining property, but we definitely don't have continuity, and for what it matters the defining property might even en …