Questions tagged [calculus-and-analysis]

Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.

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Numerical Mixed Partial Derivatives: How to Choose Scale?

For illustration purposes, consider the function $$ f(x, y) = (x - 1)^2 + (y - 1)^2 + \sin[25(x+y)] . $$ The mixed partial derivatives at the origin are $f^{(x,x)}(0,0) = f^{(y,y)}(0,0) = 2$ and $f^{(...