, 2022 Edition
CALCULUS
Essential Skills
Practice Workbook
with Full Solutions
Derivatives, Limits and Integrals
Sudhir K. Sood, Ph.D.
Calculus: Essential Skills Practice Workbook with Full Solutions- Derivatives, Limits and
Integrals 2022 Edition
Sudhir K. Sood, Ph.D.
COPYRIGHT © 2022 SUDHIR K. SOOD
All rights reserved. This Book is protected by Copyright and must not be reproduced, stored in
retrieval system or transmitted in any form or by any means whatsoever except as specifically
permitted by applicable copyright law.
,Paperback ISBN: 9798829061357
TABLE OF CONTENTS
INTRODUCTION
1 BASIC DIFFERENTIATION RULES AND THE DERIVATIVES OF POLYNOMIALS
Chapter 1 Exercises
Chapter 1 Solutions
2 THE CHAIN RULE
Chapter 2 Exercises
Chapter 2 Solutions
3 THE PRODUCT RULE
Chapter 3 Exercises
Chapter 3 Solutions
4 THE QUOTIENT RULE
Chapter 4 Exercises
Chapter 4 Solutions
5 DERIVATIVES OF TRIGONOMETRIC FUNCTIONS
Chapter 5 Exercises
Chapter 5 Solutions
6 DERIVATIVES OF INVERSE TRIGO FUNCTIONS
Chapter 6 Exercises
Chapter 6 Solutions
7 DERIVATIVES OF EXPONENTIAL FUNCTIONS
Chapter 7 Exercises
Chapter 7 Solutions
8 DERIVATIVES OF LOGARITHMIC FUNCTIONS
Chapter 8 Exercises
Chapter 8 Solutions
, 9 DERIVATIVES OF HYPERBOLIC FUNCTIONS
Chapter 9 Exercises
Chapter 9 Solutions
10 DERIVATIVES OF IMPLICIT FUNCTIONS
Chapter 10 Exercises
Chapter 10 Solutions
11 SECOND ORDER DERIVATIVES
Chapter 11 Exercises
Chapter 11 Solutions
12 EXTREME VALUES-MAXIMA AND MINIMA
Chapter 12 Exercises
Chapter 12 Solutions
13 LIMITS AND L’HÔPITAL’S RULE
Chapter 13 Exercises
Chapter 13 Solutions
14 INDEFINITE INTEGRALS AND INTEGRALS OF POLYNOMIALS
Chapter 14 Exercises
Chapter 14 Solutions
15 DEFINITE INTEGRALS
Chapter 15 Exercises
Chapter 15 Solutions
16 INTEGRALS OF TRIGONOMETRIC FUNCTIONS
Chapter 16 Exercises
Chapter 16 Solutions
17 INTEGRALS OF EXPONENTIAL, LOGARITHMIC AND HYPERBOLIC FUNCTIONS
Chapter 17 Exercises
Chapter 17 Solutions
18 INTEGRATION BY POLYNOMIAL SUBSTITUTION
Chapter 18 Exercises
Chapter 18 Solutions
19 INTEGRATION BY TRIGONOMETRIC SUBSTITUTION
Chapter 19 Exercises
Chapter 19 Solutions
20 INTEGRATION BY PARTS
Chapter 20 Exercises
Chapter 20 Solutions
21 MULTIPLE INTEGRALS
Chapter 21 Exercises
Chapter 21 Solutions
CALCULUS
Essential Skills
Practice Workbook
with Full Solutions
Derivatives, Limits and Integrals
Sudhir K. Sood, Ph.D.
Calculus: Essential Skills Practice Workbook with Full Solutions- Derivatives, Limits and
Integrals 2022 Edition
Sudhir K. Sood, Ph.D.
COPYRIGHT © 2022 SUDHIR K. SOOD
All rights reserved. This Book is protected by Copyright and must not be reproduced, stored in
retrieval system or transmitted in any form or by any means whatsoever except as specifically
permitted by applicable copyright law.
,Paperback ISBN: 9798829061357
TABLE OF CONTENTS
INTRODUCTION
1 BASIC DIFFERENTIATION RULES AND THE DERIVATIVES OF POLYNOMIALS
Chapter 1 Exercises
Chapter 1 Solutions
2 THE CHAIN RULE
Chapter 2 Exercises
Chapter 2 Solutions
3 THE PRODUCT RULE
Chapter 3 Exercises
Chapter 3 Solutions
4 THE QUOTIENT RULE
Chapter 4 Exercises
Chapter 4 Solutions
5 DERIVATIVES OF TRIGONOMETRIC FUNCTIONS
Chapter 5 Exercises
Chapter 5 Solutions
6 DERIVATIVES OF INVERSE TRIGO FUNCTIONS
Chapter 6 Exercises
Chapter 6 Solutions
7 DERIVATIVES OF EXPONENTIAL FUNCTIONS
Chapter 7 Exercises
Chapter 7 Solutions
8 DERIVATIVES OF LOGARITHMIC FUNCTIONS
Chapter 8 Exercises
Chapter 8 Solutions
, 9 DERIVATIVES OF HYPERBOLIC FUNCTIONS
Chapter 9 Exercises
Chapter 9 Solutions
10 DERIVATIVES OF IMPLICIT FUNCTIONS
Chapter 10 Exercises
Chapter 10 Solutions
11 SECOND ORDER DERIVATIVES
Chapter 11 Exercises
Chapter 11 Solutions
12 EXTREME VALUES-MAXIMA AND MINIMA
Chapter 12 Exercises
Chapter 12 Solutions
13 LIMITS AND L’HÔPITAL’S RULE
Chapter 13 Exercises
Chapter 13 Solutions
14 INDEFINITE INTEGRALS AND INTEGRALS OF POLYNOMIALS
Chapter 14 Exercises
Chapter 14 Solutions
15 DEFINITE INTEGRALS
Chapter 15 Exercises
Chapter 15 Solutions
16 INTEGRALS OF TRIGONOMETRIC FUNCTIONS
Chapter 16 Exercises
Chapter 16 Solutions
17 INTEGRALS OF EXPONENTIAL, LOGARITHMIC AND HYPERBOLIC FUNCTIONS
Chapter 17 Exercises
Chapter 17 Solutions
18 INTEGRATION BY POLYNOMIAL SUBSTITUTION
Chapter 18 Exercises
Chapter 18 Solutions
19 INTEGRATION BY TRIGONOMETRIC SUBSTITUTION
Chapter 19 Exercises
Chapter 19 Solutions
20 INTEGRATION BY PARTS
Chapter 20 Exercises
Chapter 20 Solutions
21 MULTIPLE INTEGRALS
Chapter 21 Exercises
Chapter 21 Solutions
