Systems of differential equations: Non-linear differential equations
The chain rule
The functions \(f:\mathbb{R}^n\longrightarrow \mathbb{R}^k\) and \(g:\mathbb{R}^k\longrightarrow \mathbb{R}^m\) can be composed to the function \(g\circ f: \mathbb{R}^n\longrightarrow \mathbb{R}^m\). We have the following chain rule for differentiation.
Chain rule for differentiation \[J(g\circ f)(a) =J(g)(f(a))\cdot J(f)(a)\]
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