Learning Objectives:

__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

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

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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**Hook Questions:**

*1. **State the Limits of a Function of Two Variables?*

*2. **Define First Order and Second Order Partial Derivative? *

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