Skip to content
Sahithyan's S2
Sahithyan's S2 — Methods of Mathematics

Partial Derivative

Suppose . is the partial derivative of with respect to . is considered a constant in this case. Also denoted by , . The definition can be extended for functions with more than 2 variables.

Partial derivative of with respect to at the point is:

Provided that the above limit exists. must be continous at in order for this partial derivative to exist.

Higher partial derivatives

The second-order partial derivates of are: