The Chain Rule
Overview
The total derivative follows its own version of the
chain rule.
{% \frac{\partial{\vec{f}}}{\partial{\vec{x}}} = \frac{\partial{\vec{f}}}{\partial{\vec{y}}} \times \frac{\partial{\vec{y}}}{\partial{\vec{x}}} %}
Which can be verified easily when representing the given functions as Jacobians.
Examples
