Chain rule If y=f(u) and u=g(x), then (dy)/(dx)=(dy)/(du)(du)/(dx). Differentiate the outer function while keeping the inner expression, then multiply by the derivative of the inner function.

If \(y=\mathrm{f}(u)\) and \(u=\mathrm{g}(x)\), then

\[\frac{\mathrm dy}{\mathrm dx}=\frac{\mathrm dy}{\mathrm du}\frac{\mathrm du}{\mathrm dx}.\]

Differentiate the outer function while keeping the inner expression, then multiply by the derivative of the inner function.

Techniques of Differentiation

International Baccalaureate Mathematics: Analysis and Approaches Higher Level

Chain Rule

Chain Rule