Calculus: Essential Skills Practice Workbook with Full Solutions - Derivatives, Limits and Integrals 2022 Edition

With over three decades of experience teaching math and physics, the author Sudhir K. Sood Ph.D. has written this workbook to help you master the most essential calculus skills of calculating derivatives, limits and integrals quickly and accurately. To this end, it is carefully divided into following twenty one chapters.1. Basic Differentiation Rules and the Derivatives of Polynomials2. The Chain Rule3. The Product Rule4. The Quotient Rule5. Derivatives of Trigonometric Functions6.. Derivatives of Inverse Trigonometric Functions7. Derivatives of Exponential Functions8. Derivatives of Logarithmic Functions9. Derivatives of Hyperbolic Functions10. Derivatives of Implicit Functions11. Second Order Derivatives12.Extreme Values-Maxima and Minima13. Limits and L’Hôpital’s Rule14. Indefinite Integrals and Integrals of Polynomials15. Definite Integrals16. Integrals of Trigonometric Functions17. Integrals of Exponential, Logarithmic and Hyperbolic Functions18 Integration by Polynomial Substitution19. Integration by Trigonometric Substitution20. Integration by Parts21. Multiple IntegralsWhat is inside?Each chapter of the workbook begins with a concise yet self-contained discussion of the topic of the chapter supplemented by formulas, identities and properties of various functions, their derivatives and anti-derivatives. This is followed by a number of examples that are solved step by step with explanation of every step. In order to help the readers recapitulate what they learnt earlier, these explanations include clearing up of ‘simple’ calculation skills like addition/subtraction of fractions, multiplication/division of exponents, use of trigonometric and logarithmic identities and so onAt the end of every chapter, a variety of practice exercises are provided to test your problem solving skills as well as your comprehension and retention of the topic.Full solution of every practice exercise can be found at the back of the workbook to allow you to check your answers. An effort is made to provide really detailed answers wit