In this video lesson, Calculus Instructor Donny Lee teaches about the Fundamental Lemma. In discussing about the concept of the total differential, there should be certain hypotheses which, when satisfied by a function, tell us whether a function has a total differential or is differentiable at a point (x, y).



This 'fundamental lemma' is just that and it is based on the continuity of partial derivatives.

1. Partial Derivatives Review
2. Using Four or More Variables
3. Evaluation of Partial Derivatives
4. The Total Differential
5. The idea of delta(z) and dz
6. Theorem of the Total Differential
7. Fundamental Lemma

In this course, Calculus Instructor Donny Lee gives 7 video lessons on Advanced Differential Calculus. Some of the topics covered are: Partial Derivatives, delta(z) and dz, Total Differential and Fundamental Lemma.

Tags: Math, Math Calculus