# Ch 10: Calculations & Applications of Derivatives

Learn more about how to calculate and apply mathematical derivatives with this chapter. Use these lessons and quizzes as a comprehensive study guide to prepare you for an upcoming test or homework exam.

## Calculations & Applications of Derivatives - Chapter Summary

In this chapter, how to calculate the derivatives of polynomial, exponential and trigonometric functions is explained. How derivatives relate to inverse trigonometric functions is also covered. You will also learn how to apply the rules of differentiation to derivative calculations, including quotient, product and chain rules.

As you continue through the lessons, how to calculate higher order derivatives is presented, as well as how to solve optimization problems in calculus. This chapter will teach you how to:

• Use simple tricks to calculate the derivative of a polynomial equation
• Calculate derivatives of exponential and trigonometric functions
• Solve derivative problems using rules
• Define mathematical jerk
• Tell whether a function is increasing or decreasing by looking at the sign of the first derivative
• Determine min-max problems by using derivatives

Use these lessons and quizzes to gauge how well you understood the material and where you might need further study. If you'd like to review just one part of a video lesson, use the video tabs featured in the Timeline to jump directly to the section you'd like to watch. Each lesson is accompanied by a printable transcript so you can print a copy to review offline at any time. If you have questions about the lesson, contact one of our instructors for assistance.

9 Lessons in Chapter 10: Calculations & Applications 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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