# Ch 14: Finding Derivatives

Watch these videos to enhance your understanding of differentiation and calculating derivatives in multiple types of equations. See how well you are retaining the material by taking the quizzes and test.

## Finding Derivatives - Chapter Summary and Learning Objectives

Differentiation is one of the most basic elements of calculus, so this chapter is stacked with lessons on calculating derivatives in trigonometric, polynomial, and complex functions. Solidify your understanding of calculating higher order derivatives and derivatives of implicit functions. Through these bite-sized videos, our expert instructors cover these topics and more, such as inverse trigonometric functions. In each lesson you will find memorable graphics to hold your attention and maximize retention and a quiz to assess your synthesis of the key points. Among the topics in this chapter you will learn to:

• Calculate derivatives of trigonometric, polynomial, and complex equations
• Use the Chain Rule
• Differentiate factored polynomials and higher-order derivatives
• Find derivatives of implicit functions, inverse trigonometric functions, and exponential equations
• Work with parametric, polar, and vector derivatives

Video Objective
Calculating Derivatives of Trigonometric Functions In this video our instructors describe how the derivatives of sin(x), cos(x), and tan(x) are cos(x), -sin(x), and sec^2(x) respectively.
Calculating Derivatives of Polynomial Equations Learn how to use the Power Rule to quickly find the derivative of polynomial equations.
Using the Chain Rule to Differentiate Complex Functions Here our instructors describe how to pick apart complex functions with layers of parentheses by differentiating from the outside to the inside.
Differentiating Factored Polynomials: Product Rule and Expansion In this lesson you will learn about the Product Rule and how it helps to find derivatives with functions involving multiplication.
Understanding Higher Order Derivatives Using Graphs This video pits cartoons against uneven functions as the instructors describe second- and higher-order derivatives in graphical form.
Calculating Higher Order Derivatives Instructors describe what jerks changes in acceleration are with this video on derivatives of derivatives.
How to Find Derivatives of Implicit Functions This lesson shows how to separate out inseparable elements of a function by taking the derivative of both sides of the equation and factoring out the derivative terms.
How to Calculate Derivatives of Inverse Trigonometric Functions Here you will get a few more equations to memorize as you explore inverse trigonometric functions.
Applying the Rules of Differentiation to Calculate Derivatives This video explores how to use the product, quotient, and chain rules in real-world examples.
Calculating Derivatives of Exponential Equations This video teaches you four more rules to remember when dealing with derivatives of exponentials.
Derivatives of Functions: Parametric, Polar & Vector We revisit parametric, polar, and vector functions in this lesson on more complex derivative cases.

11 Lessons in Chapter 14: Finding 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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