Chain Rule for Partial Derivatives/Corollary 2

Theorem
Let $F = \map f {x, y}$ be a real-valued function from $\R^2$ to $\R$.

Let $y = \map Y x$ be a real function.

Then:
 * $\dfrac {\d F} {\d x} = \dfrac {\partial F} {\partial x} + \dfrac {\partial F} {\partial y} \dfrac {\d Y} {\d x}$