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Ch 8: Applications of Derivatives in AP Calculus: Tutoring Solution

About This Chapter

The Applications of Derivatives chapter of this AP Calculus AB and BC Tutoring Solution is a flexible and affordable path to learning about applications of derivatives in AP calculus. These simple and fun video lessons are each about five minutes long and they teach all of the operations involving derivatives required in a typical AP calculus course.

How it works:

  • Begin your assignment or other AP calculus work.
  • Identify the applications of derivatives concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our AP calculus tutoring solution will benefit any student who is trying to learn about applications of derivatives for AP calculus and earn better grades. This resource can help students including those who:

  • Struggle with understanding linearization, function estimation using linearization, methods for finding roots of equations, optimization, differentiation or any other applications of derivatives in AP calculus topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their applications of derivatives in AP calculus unit
  • Cope with ADD or ADHD
  • Want to get ahead in AP calculus
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning about applications of derivatives for AP calculus simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live calculus tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about applications of derivatives on the go!
  • Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.

Learning Objectives

  • Learn about the linearization of functions.
  • Use linearization to estimate the value of a function.
  • Describe the applications of Newton's method.
  • Find the roots of equations using Newton's method.
  • Explain the relationship between optimization and differentiation.
  • Optimize complex and simple systems.

7 Lessons in Chapter 8: Applications of Derivatives in AP Calculus: Tutoring Solution
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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