For functions of functions {function of function differentiation}, multiply differential of main function and differential of other function: dg(f) = (dg / df) * df {chain rule, differentiation}. Other function can be independent variable: df(x) = (df(x) / dx) * dx.
Derivative of two-variable function f(x,y) with respect to variable t is (Df(x,y) / Dx) * (dx/dt) + (Df(x,y) / Dy) * (dy/dt), where D is partial derivative {chain rule, partial derivatives}.
3-Calculus-Differentiation-Methods
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Date Modified: 2022.0225