The chain rule is a method of finding the derivative of a function, it is given by the following:
When using the chain rule with partial derivatives the rule takes the following form:
If
or when written in short notation:
If you have three variables the rule becomes:
where:
#incomplete - expand -- see multi hw 7 for examples.
See Multivariable Calculus Notes - Chapter 14 - Sections 5-6 for more information and partial derivative notation for notation information.