Solution of IDZ Ryabushko 10.1 - Variant 28

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, computing first-order partial derivatives, partial differentials, total differential, derivatives of composite functions, partial derivatives of implicitly defined functions, as well as computing the values of these derivatives at given points.

Tasks:
Includes 7 subtopics: domain of definition of a function, first-order partial derivatives, partial differentials, total differential, derivative of a composite function
Solution methods: differentiation rules; total differential formula; differentiation of a composite function; differentiation of an implicit function

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