Let $[a, b] \subseteq \mathbb{R}$ be a D544: Closed real interval such that

(i)	\begin{equation} a < b \end{equation}
(ii)	$f, g : [a, b] \to \mathbb{R}$ are each a D5231: Standard-continuous real function on $[a, b]$
(iii)	$f, g$ are each a D5614: Differentiable real function on $(a, b)$

Then \begin{equation} \exists \, x \in (a, b) : f'(x) (g(b) - g(a)) = g'(x) (f(b) - f(a)) \end{equation}