$\frac{\mathrm{d}y}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}u}\times \frac{\mathrm{d}u}{\mathrm{d}x}$

Chain Rule

Chain rule

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.

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