Partial derivative
Definition at a point
For a function of two variables
Suppose is a real-valued function of two variables , i.e., the domain of is a subset of . We define the partial derivatives as follows:
- Partial derivative with respect to :
In words, it is the derivative at of the function .
This partial derivative is also denoted or .
- Partial derivative with respect to :
In words, it is the derivative at of the function .
This partial derivative is also denoted or .
For a function of multiple variables
Fill this in later