Essential Calculus Skills Practice Workbook with Full Solutions

Pdf Book Name: Essential Calculus Skills Practice Workbook with Full Solutions
Author: Chris McMullen [McMullen, Chris]
Publisher: Zishka Publishing
ISBN-10, 13: 1941691242,978-1941691243
Year: 2018
Pages: 151 pages
Language: English
File size: 15 MB
File format: PDF,EPUB

Essential Calculus Skills Practice Workbook with Full Solutions Pdf Book Description:

This workbook is designed to help practice essential calculus techniques, especially the art of finding derivatives and performing integrals. Each chapter focuses on one main topic such as how to apply the chain rule or how to perform an integral with a trigonometric substitution. Every chapter begins with a concise explanation of the main concept, followed by a few examples. The examples are fully solved step-by-step with explanations, and should serve as a valuable guide for solving the practice problems. The solution to every practice exercise is tabulated at the back of the book. A variety of essential calculus skills are covered in this workbook. The first chapter starts out simple with derivatives of polynomials, and the difficulty of the lessons progresses as the book continues. Students will learn:
• how to find derivatives and anti-derivatives of polynomials
• how to find derivatives and anti-derivatives of trigonometric
functions
• how to find derivatives and anti-derivatives of logarithms and
exponentials
• how to perform definite integrals
• how to perform multiple integrals
• a variety of integration techniques

May you (or your students) find this workbook useful and become more fluent with these essential calculus skills. Given a polynomial term of the form axb (where a is a constant coefficient and b is a constant exponent), to take a derivative with respect to the variable x, first multiply the coefficient a by the exponent b, and then reduce the exponent by 1 according to the following formula. If f(u) is a function of one variable u, and if u(x) is itself a function of a second variable x, then the chain rule may be applied in order to find a derivative of the function f(u(x)) with respect to the second variable x