30:T497,

Chain Rule

A method for finding the derivative of a composition of functions. The formula is d/dx f(g(x)) = f'(g(x))g'(x) . Another form of the chain rule is dy/dx = (dy/du)(du/dx) .

Chain Rule formula: d/dx[f(g(x))]=f'(g(x))g'(x), with examples using (x²+5)⁸ showing step-by-step derivative calculations.

See also

Derivative rules

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