Partial Derivatives Higher Order
An overview of the second partial derivative, the symmetry of mixed partial derivatives, and higher-order partial derivatives.
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Outline
Partial Derivatives : Higher Order
1. Introduction
A function e.g f(x,y) or z(x,y)
2. Second Partial Derivatives
Taking two consecutive partial derivatives with respect to the same variable
3. Mixed Partial Derivatives
Taking partial derivatives with respect to one variable, and then take another partial derivative with respect to a different variable
4. Higher Partial Derivatives
Mixed partial derivatives give same result whenever :
Engineering Applications
Mechanics of Fluid : Ideal Flow
Finite Element Method or Analysis
Mechanics of Materials : Macaulay's Beam Deflection
Example Questions
Second Partial Derivatives
Mixed Partial Derivatives
Function more than three variable
Other
Figure of Mixed Partial Derivatives
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