Classroom Assignment Ryabushko - 10.1

Classroom assignment in higher mathematics, section 10.1.
Section: Chapter 10. Differential Calculus of Functions of Several Variables
Topic: Functions of several variables: basic concepts
Description: Finding the domain of definition of functions of two and three variables, calculating first-order partial derivatives and their values at given points, finding partial differentials of functions.

Tasks:
1. Find the domains of definition of the following functions
2. Find the partial derivatives of the indicated functions
3. Calculate the sum of partial derivatives u'x + u'y + u'z at the point M0(1; 1; 1)
4. Calculate the values of the partial derivatives of the function at a given point
5. Find the partial differentials of the following functions

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