Ch 9: Overview of Properties of Derivatives

Master the properties of derivatives and the concepts used in calculating and representing them. This chapter covers the definition of derivatives and the basics of using them in your calculus work. Use our helpful videos to boost your learning.

Overview of Properties of Derivatives - Chapter Summary

Review the lessons in this chapter for an overview of the basic principles behind using derivatives in calculus. You can gain a better understanding of what it means to be 'differentiable' and study how to calculate these derivatives. You'll also see examples of the linear properties of derivatives, review when to use the quotient rule and explore optimization and differentiation.

After you complete the chapter, you should be able to:

• Explain what derivatives are and how they define calculus
• Understand and create a graphical representation of the slope of a function
• Describe the meaning of the term 'differentiable' and how it applies to calculus
• Use limits, such as position, to calculate velocity as a function of time
• Define constant multiples and additions and demonstrate their application in calculating limits
• Identify a continuous function and the relationship between continuity and differentiability

Our lessons are accessible from your computer and mobile device so you can study anywhere, at your convenience. Take advantage of the tools offered in this chapter, including video lessons with full transcripts and lesson quizzes, to track your progress and help the information stick.

8 Lessons in Chapter 9: Overview of Properties of Derivatives
Test your knowledge with a 30-question chapter practice test
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.
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