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Mathematics for Economists
Chapter 9
Functions of several variables
Functions of two variables
Graph of a function of two variables
Functions of several variables
Functions of several variables: Problems
Problem: Evaluate a function of two variables
Problem: Evaluate a function of two variables
Problem: Find the natural domain of a function of two variables
Problem: Level curves
Problem: Intersection of level curves
Partial derivatives
Partial derivatives, rough introduction
Partial derivatives
Hessian
Chain rule for functions of two variables
Partial derivatives: Problems
Problem: Find partial derivatives
Problem: Find partial derivatives
Problem: Find first- and second-order partial derivatives
Problem: Find first- and second-order partial derivatives
Problem: Find first- and second-order partial derivatives
Problem: Hessian and its determinant
Problem: Concave function of two variables
Problem: Chain rule
Problem: Chain rule
Problem: Chain rule
Problem: Chain rule
Problem: Slope of a level curve
Problem: Slope of a level curve
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Chapter 9
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Problem: Level curves
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