In this video lesson, Calculus Instructor Donny Lee teaches about quick clarification on variables. When only three variables x, y, z are involved, the notation for partial derivatives is self-explanatory: x and y are independent, and we differentiate holding one of them fixed.
With four or more variables, we need to be careful in specifying which are the independent variables. u = h(x, y, v) and u = f(x, y); v = g(x, y) mean two different things.
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.