13.3 day 2 Higher- Order Partial Derivatives

Higher- Order Partial Derivatives As is true for ordinary derivatives, it is possible to take second, third and higher order derivatives provided such derivatives exist.

Higher-Order derivatives:

Higher-Order partial derivatives Note: we will need to use all 4 of these second order partial derivatives in a later section to find maximums and minimums.

Mixed Partial derivatives: Both answers are the same!

Equality of Mixed Partial Derivatives

Example 8

Example 8 Solution

Partial derivatives of a function of 3 or more variables