Learning Objectives:

__Math Tutoring on The Chain Rule and Directional Derivatives, and the Gradient Functions of Two Variables__

*The Chain Rule: Functions with One Independent Variable:*

If ** z = f(x, y)** and

*Functions with Two Independent Variables:*

If ** z = f(x, y)** and

**Two Independent Variables s and t.**

*Directional Derivatives of Two Variables:*

Let ** f** be a function of two variables

**Provided the Limit Exists.**

*Gradient Functions of Two Variables:*

In math tutoring, we can also use the notation ** grad(f)**. We can say

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**Hook Questions:**

*1. **Describe the Chain Rule of differentiation for the functions with two variables?*

*2. **State Directional Derivatives of two variables?*

*3. **State Gradient functions of two variables?*

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