Math Tutoring on Limits and Partial Derivatives of Functions of Two Variables
Limits of a Function of Two Variables:
As approaches the limit of is L, if the limit from all paths approaching exist and are equal to L.
If the function is continuous then,
First Order Partial Derivative:
The First Partial Derivative of a function of two variable tells us the slope of the tangent line at a given point in either the x or y direction. The First Partial Derivative of f with respect to x is defined by
In math tutoring, to determine , consider y as a constant and differentiate with respect to x.
The First Partial Derivatives of f with respect to y is defined by
Notation for Second Order Partial Derivatives:
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1. State the Limits of a Function of Two Variables?
2. Define First Order and Second Order Partial Derivative?
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