Following toggle tip provides clarification

Partial Differentiation (Metric)

Learn, or revise, the principles and techniques of partial differentiation.


The partial derivatve, the chain rule and higher derivatives.

The partial derivatives \(\partial z/\partial x\) and \(\partial z/\partial y\).

The Chain Rule for partial derivatives; change of variable.

The higher derivatives \(\partial^2z/\partial x^2\), \(\partial^2z/\partial x\partial y\), etc.


Finding and classifying stationary points on surfaces.

Finding stationary points on surfaces by solving \(\partial z/\partial x = \partial z/\partial y = 0\).

Classifying stationary points by considering \(z_{xx}\,z_{yy}-{z_{xy}}^2\).