Partial derivatives are used to find the slope of a three dimensional curve at an angle. But why do we need them? Can't another function be created from the first one which calculates $x$ and $y$ based on $x$ and the angle ($g(x, \theta) = f(\cos(\theta)x,\sin(\theta)x)$), and then derivate that one?
2026-04-04 06:55:30.1775285730
Why do we need partial derivatives?
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