Tangent Plane, Linearization, Error Bound, Differentials - Calculus 3

This video explains how tangent planes can be used to linearise a function of two variables, including tangent plane equations for level and smooth surfaces, approximating change using the directional derivative, linearization, error bound and differentials for functions of two and three variables, and worked example practice problems.

0:00 Tangent plane to a level surface
5:49 Tangent plane to smooth surface
12:06 Approximating change using the directional derivative
13:48 Linearisation of a function of two variables
18:14 Linearisation and error bound
23:52 Differentials
25:49 Linearisation, error bound and differentials, three variables
30:03 Worked examples