Symmetry of Second Derivatives
The order of the variables in mixed partial derivatives doesn’t matter under certain condition.
Clairaut’s Theorem
If
‘s partial derivative up to order 2 exists and are continuous, then
Example: if
then
Created: Jan 27, 2024Last Modified: Jan 27, 2024
The order of the variables in mixed partial derivatives doesn’t matter under certain condition.
Clairaut’s Theorem
If
‘s partial derivative up to order 2 exists and are continuous, then
Example: if
then