Partial and Total Differentiation of Multivariate Functions
A multivariate function may be differentiated with respect to each variable, which is called partial differentiation. By combining all the partial differentiations, we define total differentiation. The essence of (total) differentiation is a linear approximation. In the case of a univariate function, we approximate the function y = f(x) in the neighbor of a point, say x=a, by the tangent line y = f'(a)(x-a) + f(a). In the case of a multivariate function, we approximate the function y = f(x1, x2,...,xn) in the neighbor of a point, say a=(a1, a2, ..., an), by the tangent hyperplane at the point x=a.
Lecture notes: https://bruneimathclub.blogspot.com/2...
Watch video Partial and Total Differentiation of Multivariate Functions online without registration, duration hours minute second in high quality. This video was added by user Brunei Math Club 05 December 2022, don't forget to share it with your friends and acquaintances, it has been viewed on our site 185 once and liked it 2 people.