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Partial Differentiation (Metric)

Class Details

Shireen Lock (shireen.lock@imperial.ac.uk)

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

Principles

The partial derivative, the chain rule and higher derivatives.

Techniques

Finding and classifying stationary points on surfaces.

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

Lesson

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

Lesson
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