Learning Objectives:

__Math Tutoring on Relative Extrema and Applications to Functions of Two Variables__

Informally, we can think of a **Relative Extrema** as a high point or low point on the surface defined by **.**

A function has a **Relative Minimum** at the point ** if ** in some region containing **.**

A function has a Relative Maximum at the point ** if ** in some region containing **.**

*Steps to Determine Relative Extrema in Math Tutoring:*

1. Locate the **Critical Numbers.**

2. Perform a second partials test.

· If **, **then ‘** f**’ has a

· If **,** then **‘ f’** has a

· If is a **Saddle Point.**

· The test is **inconclusive if d = 0.**

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**Hook Questions:**

*1. **Define Relative Extrema.*

*2. **What are the steps to determine Relative Extrema?*

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