# Ch 39: Principles of Calculus

Refresh your understanding of the basic principles of calculus, including differentiation, limits and continuity of functions. Use these lessons and quizzes as a flexible, convenient study guide for an upcoming test.

## Principles of Calculus - Chapter Summary

In this chapter, you will begin with lessons on how to determine the limits of functions, compare discontinuous and continuous functions and how to use the chain rule. The concept of tangents will be introduced, in addition to instructions on how to find the normal line to a curve and how to discover the minima and maxima. Our instructors will explain how L'Hopital's rule came about and how it can be used to find limits.

Your study will continue with a discussion on integration by parts and how to use several common integration techniques to solve intervals. The best way to utilize the partial fractions technique is also presented. You will review the definition for definite integrals and the derivation of the formula for total surface area and volume of a sphere, frustum and cylinder. The chapter concludes with instructions about how to use the separation of variables technique. Once you have completed these lessons, you should be able to:

• Calculate the limits of complex functions and differentiate between continuous and discontinuous functions
• Utilize the chain rule to simplify equations
• Define tangents
• Determine the maxima and minima of a function
• Use integration to break up a big interval
• Understand the relationship between Riemann sums and definite intervals
• Recognize the formulas for the surface area of a sphere, frustum, cylinder and cone
• Utilize the separation of variables technique to solve equations

Our mobile-friendly lessons and quizzes are available to review 24 hours a day, seven days a week. Use the assessment quizzes to test how well you've understood the lesson and material. If you want to review just one section of a video, use the video tabs feature in the Timeline section to skip directly to the part of the video you'd like to watch. Each lesson is accompanied by a printable lesson transcript so you can study the material offline at any time.

14 Lessons in Chapter 39: Principles of Calculus
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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