Handouts on Partial Derivatives for M 408D Spring 2024

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Click on the desired handout name.

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• How the Multi-Variable Chain Rule (Case 1 Version) follows from the Differential dz
• The Partial Derivative as a Slope of a Tangent Line
• The Total Differential dz
• A Temperature Function and its Partial Derivatives
• Functions of Several Variables and The Definition of the Partial Derivative
• Partial Derivatives' Notation
• The Limit of a Function z = f(x,y) of 2 Variables
• Showing that, at a Particular Point (a,b), the Limit of f(x,y) as (x,y) ==> (a,b) Does Not Exist
• Equations of Planes Parallel to the Coordinate Planes
• Equations of Non-Vertical Planes in 3-Space
• Understanding the Partial Derivative