dr.-ing. erwin sitompul president university lecture 5 multivariable calculus president...
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Dr.-Ing. Erwin SitompulPresident University
Lecture 5
Multivariable Calculus
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Partial Derivatives of a Function of Two VariablesChapter 14 14.3 Partial Derivatives
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Partial Derivatives of a Function of Two VariablesChapter 14 14.3 Partial Derivatives
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Partial Derivatives of a Function of Two VariablesChapter 14 14.3 Partial Derivatives
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Partial Derivatives of a Function of Two VariablesChapter 14 14.3 Partial Derivatives
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Calculations Example
Chapter 14 14.3 Partial Derivatives
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Calculations Example
Chapter 14 14.3 Partial Derivatives
Example
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Calculations Example
Chapter 14 14.3 Partial Derivatives
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Calculations Example
Chapter 14 14.3 Partial Derivatives
As a single-variable function,
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Functions of More Than Two Variables Example
Chapter 14 14.3 Partial Derivatives
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Second-Order Partial Derivatives Example
Chapter 14 14.3 Partial Derivatives
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The Mixed Derivative TheoremChapter 14 14.3 Partial Derivatives
Example
How?
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Functions of Two and Three VariablesChapter 14 14.4 The Chain Rule
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Functions of Two and Three VariablesChapter 14 14.4 The Chain Rule
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Functions of Two and Three VariablesChapter 14 14.4 The Chain Rule
Example
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Functions of Two and Three VariablesChapter 14 14.4 The Chain Rule
Example
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Functions Defined on SurfacesChapter 14 14.4 The Chain Rule
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Functions Defined on SurfacesChapter 14 14.4 The Chain Rule
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Functions Defined on SurfacesChapter 14 14.4 The Chain Rule
Example
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Functions Defined on SurfacesChapter 14 14.4 The Chain Rule
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Functions Defined on SurfacesChapter 14 14.4 The Chain Rule
Example
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Homework 5 Exercise 14.3, No. 14. Exercise 14.3, No. 43. Exercise 14.4, No. 5. Exercise 14.4, No. 12. Exercise 14.4, No. 40.
Homeworks must not be submitted, but there will be a 15-minute short quiz in every lecture, asking 1-2 of the homework problems.
Next short quiz: One week after midterm exam, at 17.15.
Chapter 14 14.4 The Chain Rule