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