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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A function e.g f(x,y) or z(x,y)

Taking two consecutive partial derivatives with respect to the same variable
Standard Notation
fxx
fyy

Taking partial derivatives with respect to one variable, and then take another partial derivative with respect to a different variable
Standard Notation
fyx
fxy
Del Notation
Subscript Notation

Mixed partial derivatives give same result whenever :
f, fx, fy, fxy, fyx
Third and higher order :
fyyx
fyyxx

Mechanics of Fluid : Ideal Flow
Finite Element Method or Analysis
Mechanics of Materials : Macaulay's Beam Deflection

Second Partial Derivatives
Subtopic 1
Mixed Partial Derivatives
Subtopic 1
Function more than three variable
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Figure of Mixed Partial Derivatives
Subtopic 1