ThmDex – An index of mathematical definitions, results, and conjectures.
F12597
Formulation 1
Let $f, g : \mathbb{R} \to \mathbb{R}$ each be a D5614: Differentiable real function such that
(i) \begin{equation} h : = f \circ g \end{equation}
Then
(1) $h$ is a D5614: Differentiable real function
(2) \begin{equation} \frac{d h(x)}{d x} = \frac{d f(g(x))}{d g(x)} \frac{d g(x)}{d x} \end{equation}