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Ch 27: PLACE Mathematics: Calculating Derivatives & Derivative Rules

About This Chapter

In your preparation for the PLACE Mathematics, watch this series of engaging lesson videos to refresh your knowledge of derivative rules and skills for calculating derivatives.

PLACE Mathematics: Calculating Derivatives & Derivative Rules - Chapter Summary

As part of this course assembled to help you prepare for the PLACE Mathematics exam, the professional instructors in these lesson videos demonstrate how to calculate derivatives and differentiate complex functions and polynomials. These videos you should help you get a better understanding of:

  • Limits to calculating derivatives
  • Linear properties of derivatives
  • Differentiating complex functions and the chain rule
  • Product rules and expansion when differentiating factored polynomials
  • The Quotient Rule for differentiation

Complete the lesson quizzes to further fortify the material covered in this chapter. These can help you discover areas you may want to review further before taking the PLACE Mathematics, and then you can reinforce areas of weakness using video tags that link to key points in the videos. There are also lesson transcripts that present the same material of the lesson videos but in a written format.

PLACE Mathematics: Calculating Derivatives & Derivative Rules Objectives

PLACE Mathematics is the certification exam used by the state of Colorado to credential math teachers. This certification exam is a paper based, multiple-choice test takes four hours and 30 minutes to complete. The calculus and discrete mathematics section of the test makes of nineteen percent of the test questions, and this section may include questions on solving problems with derivatives. Prepare for these questions with the short engaging lesson videos, worksheets and quizzes in this chapter.

5 Lessons in Chapter 27: PLACE Mathematics: Calculating Derivatives & Derivative Rules
Test your knowledge with a 30-question chapter practice test
Using Limits to Calculate the Derivative

1. Using Limits to Calculate the Derivative

If you know the position of someone as a function of time, you can calculate the derivative -- the velocity of that person -- as a function of time as well. Use the definition of the derivative and your knowledge of limits to do just that in this lesson.

The Linear Properties of a Derivative

2. The Linear Properties of a Derivative

In this lesson, learn two key properties of derivatives: constant multiples and additions. You will 'divide and conquer' in your approach to calculating the limits used to find derivatives.

Using the Chain Rule to Differentiate Complex Functions

3. Using the Chain Rule to Differentiate Complex Functions

If you've ever seen a complicated function, this lesson is for you. Most functions that we want to differentiate are complicated functions, for which no single derivative rule will work. In this lesson, learn how to use the chain rule to simplify nesting equations.

Differentiating Factored Polynomials: Product Rule and Expansion

4. Differentiating Factored Polynomials: Product Rule and Expansion

Most functions that we want to differentiate are complicated functions for which no single derivative rule will work. In this lesson, learn what happens to derivatives when you multiply functions together.

When to Use the Quotient Rule for Differentiation

5. When to Use the Quotient Rule for Differentiation

Lo D Hi minus Hi D Lo, all over the square of what's below! Learn the quotient rule chant for differentiating functions that take the form of fractions in this lesson.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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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 PLACE Mathematics: Practice & Study Guide course

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