# Ch 13: Computing Derivatives

This Computing Derivatives chapter covers basic trigonometric functions and the rules of derivatives. Through the online video lessons in this chapter, you'll learn how to calculate derivatives of implicit functions, solve functions using the product rule and find the derivatives of polynomials. Utilize the quizzes that follow each lesson to gauge your progress.

## Computing Derivatives - Chapter Summary and Learning Objectives

The video lessons in this Computing Derivatives chapter are designed to help you understand the use of higher order derivatives as well as the chain rule when solving equations. The lessons cover topics such as the derivative of perpetual motion and implicit differentiation. They also explain the steps for finding the first, second, third and fourth derivatives. The chapter includes self-assessment quizzes and an examination that can help you solidify your understanding of the following:

Video Objective
Calculating Derivatives of Trigonometric Functions Explain the steps for calculating the derivative of trigonometric functions.
Calculating Derivatives of Polynomial Equations Examine the power rule for derivatives and learn to find the derivatives of polynomial functions.
Using the Chain Rule to Differentiate Complex Functions Simplify nesting equations with the chain rule.
Differentiating Factored Polynomials: Product Rule and Expansion Explore the rules for multiplying functions and solving with the product rule.
Understanding Higher Order Derivatives Using Graphs Discover the steps for calculating higher order derivatives.
Calculating Higher Order Derivatives Learn the applications of mathematical jerk, acceleration and velocity when calculating higher order derivatives.
How to Find Derivatives of Implicit Functions Explore implicit functions and discuss the steps involved in implicit differentiation.
How to Calculate Derivatives of Inverse Trigonometric Functions Explore derivative formulas for inverse trigonometric functions.
Applying the Rules of Differentiation to Calculate Derivatives Discuss the rules for solving common derivatives.
Calculating Derivatives of Exponential Equations Learn to calculate derivatives of exponentials and the rate of an exponential's change.

12 Lessons in Chapter 13: Computing 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.
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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