Ch 28: NMTA Math: Graphing Derivatives

About This Chapter

New Mexico now administers the National Evaluation Series (NES) Mathematics examination instead of the NMTA Math examination. Watch this chapter's videos on graphing derivatives so you can answer examination questions on the subject.

NMTA Math: Graphing Derivatives - Chapter Summary

The video lessons in this chapter cover terminology and concepts that include extreme values, point-slope form and differentiation. In advance of sitting for the NMTA Math examination, you'll also have opportunities to re-examine techniques for graphing location as a function of time and to explore the rules of derivation. Use these online video lessons for help with:

  • Graphing derivatives
  • Understanding non-differentiable graphs and working with the normal line
  • Calculating maximum and minimum values with extrema and differentiation
  • Explaining concavity and inflection points

As you watch these illuminating lessons, you'll have the option of referring to the text transcripts at any time, pausing the lessons with the video tags and asking questions of the experienced instructors. The chapter includes self-assessment quizzes as well as a practice examination. These will determine your readiness to answer questions on graphing derivatives when you take the examination for a mathematics endorsement in New Mexico.

NMTA Math: Graphing Derivatives Chapter Objectives

The NMTA Math examination is computer based and must be completed in about four hours and 15 minutes. The Trigonometry and Calculus section of the five-part examination is where you could find questions that deal with the process of graphing derivatives. This section makes up 19% of the overall examination score. You'll display your expertise in this and other mathematical areas as you demonstrate your competence to teach the subject in New Mexico public schools. The examination consists of 150 multiple-choice questions.

6 Lessons in Chapter 28: NMTA Math: Graphing Derivatives
Test your knowledge with a 30-question chapter practice test
Graphing the Derivative from Any Function

1. Graphing the Derivative from Any Function

When you know the rules, calculating the derivates of equations is relatively straightforward, although it can be tedious! What happens, though, when you don't know the function? In this lesson, learn how to graph the derivative of a function based solely on a graph of the function!

Non Differentiable Graphs of Derivatives

2. Non Differentiable Graphs of Derivatives

When I walk along a curve, I stand normal to it. That is, I stand perpendicular to the tangent. Learn how to calculate where I'm standing in this lesson.

How to Determine Maximum and Minimum Values of a Graph

3. How to Determine Maximum and Minimum Values of a Graph

What is the highest point on a roller coaster? Most roller coasters have a lot of peaks, but only one is really the highest. In this lesson, learn the difference between the little bumps and the mother of all peaks on your favorite ride.

Using Differentiation to Find Maximum and Minimum Values

4. Using Differentiation to Find Maximum and Minimum Values

If you are shot out of a cannon, how do you know when you've reached your maximum height? When walking through a valley, how do you know when you are at the bottom? In this lesson, use the properties of the derivative to find the maxima and minima of a function.

Concavity and Inflection Points on Graphs

5. Concavity and Inflection Points on Graphs

You might not think of a cup when you think of an awesome skateboard ramp. But I'm sure a really bad ramp would give you a frown, right? Learn about cups and frowns in this lesson on concavity and inflection points.

Understanding Concavity and Inflection Points with Differentiation

6. Understanding Concavity and Inflection Points with Differentiation

Put a little more meaning behind those cups and frowns. In this lesson, use the second derivative of a function to determine if it is concave up or concave down.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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