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Ch 44: MTTC Math (Secondary): Applications of Derivatives

About This Chapter

Use the activities of this chapter to improve your understanding of the applications of derivatives as you prepare for the MTTC Mathematics (Secondary) exam.

MTTC Math (Secondary): Applications of Derivatives - Chapter Summary

The activities of this chapter will help you improve your understanding of the multiple applications of derivatives. Watch the video lessons, taught by our professional instructors, to prepare yourself for questions on the MTTC Mathematics (Secondary) test related to:

  • The linearization of functions
  • Using Newton's method
  • Differentiation and optimization
  • Optimizing simple and complex systems

After you've watched these lesson videos take the assessments that accompany them to test your understanding of the material. For an alternative review, read over the lesson transcripts that will present you with written outlines of the lessons.

7 Lessons in Chapter 44: MTTC Math (Secondary): Applications of Derivatives
Test your knowledge with a 30-question chapter practice test
Linearization of Functions

1. Linearization of Functions

Over the river and through the woods to Grandmother's house we go ... Are we there yet? In this lesson, apply linearization to estimate when we will finally get to Grandma's house!

How to Estimate Function Values Using Linearization

2. How to Estimate Function Values Using Linearization

Sometimes landing on Mars isn't that easy. You might need to use linearization to estimate if you will crash into the planet, or miss it entirely. Learn how to do just that in this lesson.

What is Newton's Method?

3. What is Newton's Method?

Hang gliding can be perilous, especially if you think you might land in a stinky pigpen. In this lesson, find out how Newton's Method might help you determine whether you'll be covered in mud when you land.

How to Use Newton's Method to Find Roots of Equations

4. How to Use Newton's Method to Find Roots of Equations

Finding the roots of equations usually requires the use of a calculator. However, in this lesson you'll use Newton's Method to find the root of any equation, even when you can't solve for it explicitly.

Optimization and Differentiation

5. Optimization and Differentiation

In this lesson, you can learn what optimization means from a mathematical standpoint. Using the techniques taught in this lesson, you can use the five steps to optimization to figure out practical things, like how much sleep you need to get before an exam.

Optimizing Simple Systems

6. Optimizing Simple Systems

Optimization problems may seem overwhelming, but they can actually be quite simple. In this lesson, learn how to use a handy five-step formula to tackle these daunting problems.

Optimizing Complex Systems

7. Optimizing Complex Systems

In this lesson, you'll learn how to follow a five-step process to solve complex optimization problems by visualizing, defining, writing an equation, finding the minimum or maximum, and answering the question.

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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Other Chapters

Other chapters within the MTTC Mathematics (Secondary) (022): Practice & Study Guide course

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