1.5_1.6_derivadas_parciales

Lecture 4 Partial Derivatives

Calculus II

Topic 2:

Differential Calculus in Several Variables

Calculus II Santiago de Vicente 1

Functions of Several Variables: Differents pents depending direction


Watching a two variables Function as a function of x only



Watching a two variables Function as a function of y only

Partial Derivatives: Definition


Geometrical Interpretation (1 of 2)


Geometrical Interpretation (2 of 2)


Partial Derivatives in General


Partial Derivatives: Usual Notations



Examples


Geometrical Application


More Examples


Traces of a Plane


Second-Order Partial Derivatives


Traces of a Surface


The Schwarz (Claireaut) Theorem


Traces of a Surface


Drawing a Cylinder


Drawing General Cylinders


Ellipsoid


Elliptic Paraboloid


Hyperboloid of one sheet


Hyperbolic Paraboloid


Hyperboloid of two sheets


The Cone


Finding the Directional Derivative using his Definition


The Cone

Homework


Documents