chain rule The
composite function is equal to the product of the local change rates of each layer.
symbols, variables and units
f,g: differentiable function; x: independent variable; derivatives are converted in composite units.
applicable conditions and boundaries
g is differentiable in x and f is differentiable in g(x).
formula source code
The following is a copyable LaTeX expression.
\frac{d}{dx}f(g(x))=f'(g(x))g'(x)Reference and Extended Learning
OpenStax · Calculus ↗is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.
chain rulecomposite function
The derivative of the