← Calculo
The Chain Rule

Rates that Multiply

A composite h(x) = f(g(x)) is a two-stage pipeline. If the inner stage moves g′ times as fast and the outer stage amplifies by f′, the whole thing runs at their product.

drag the point · the gold tangent’s slope IS f′(g)·g′
h(x) = f(g(x)) inner g(x) tangent to h