1. 13.3 day 2 Higher- Order Partial Derivatives

2. 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.

3. Higher-Order derivatives:

4. 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.

5. Mixed Partial derivatives:
Both answers are the same!

6. Equality of Mixed Partial Derivatives

7. Example 8

8. Example 8 Solution

9. Partial derivatives of a function of 3 or more variables