All About Derivatives

All About Derivatives

Mathematical Differentiation for College Students

All About Derivatives is a compact, practical guide to mastering the concept of differentiating all kinds of functions — from polynomials to exponential and logarithmic functions. It is a self-teaching handbook that presents essential principles of differentiation through comprehensive worked examples that have been carefully selected.

 

All About Derivatives is a practical handbook for college students where all the crucial principles of mathematical differentiation are thoroughly explained and demonstrated through prepared examples. This book is equipped with problem sets at the end of each chapter which tackle both basic and intricate differentiation problems to help enhance students’ understanding, develop their problem-solving skills, and encourage independent learning. A guided approach is used in this book to help students learn and master the concepts of derivatives through straightforward explanations that are supported by numerous step-by-step examples. This book is suitable for students taking Foundation or Matriculation Mathematics at local colleges and universities.

List of Graphs

List of Acronyms and Abbreviations

About the Authors

Preface

Foreword

Acknowledgements

Chapter 1 Differentiation of Polynomials

Chapter 2 Differentiation of Trigonometric Functions

Chapter 3 Derivatives of Exponential and Logarithmic Functions

Chapter 4 Implicit Differentiation

Chapter 5 Partial Derivatives

Answers

Appendix

Further Reading

Abdul Latiff Md Ahood is an accomplished lecturer whose teaching career in tertiary education spans over more than 40 years. A respected educator in Electrical Engineering and Mathematics, he has authored several books including Mesin Elektrik and Let’s Talk Mathematics. His knowledge and experience landed him prominent positions in higher education institutions, such as Deputy Dean of the School of Applied Sciences at Universiti Sains Malaysia and Associate Professor at Universiti Teknikal Malaysia Melaka. He is currently teaching Mathematics Unit 1 in the Monash University Foundation Year programme at Sunway College in the capacity of Senior Lecturer.

Mohd Amirul Mahamud is the author of several journal publications and the co-author of Let’s Talk Mathematics. He has accumulated almost 10 years of experience in education as Lecturer, teaching Algebra and Calculus in various post-secondary courses, and played a crucial role in restructuring the Mathematics syllabus at Albukhary International University. His areas of expertise include, but are not limited to, Pure Mathematics, Mathematical Analysis, Algebraic Geometry and Differential Algebra.