Lecture 4 Partial Derivatives Calculus II Topic 2: Differential Calculus in Several Variables
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Functions of Several Variables: Differents pents depending direction
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Watching a two variables Function as a function of x only
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Watching a two variables Function as a function of y only
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Partial Derivatives: Definition
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Geometrical Interpretation (1 of 2)
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Geometrical Interpretation (2 of 2)
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Partial Derivatives in General
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Partial Derivatives: Usual Notations
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Examples
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Examples
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Geometrical Application
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More Examples
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Traces of a Plane
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Traces of a Plane
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Second-Order Partial Derivatives
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Traces of a Surface
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The Schwarz (Claireaut) Theorem
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Traces of a Surface
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Drawing a Cylinder
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Drawing General Cylinders
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Ellipsoid
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Elliptic Paraboloid
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Hyperboloid of one sheet
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Hyperbolic Paraboloid
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Hyperbolic Paraboloid
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Hyperbolic Paraboloid
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Hyperbolic Paraboloid
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Hyperbolic Paraboloid
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Hyperboloid of two sheets
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The Cone
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The Cone
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The Cone
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The Cone
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Finding the Directional Derivative using his Definition
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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The Cone
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Homework
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