This book, Calculus Workbook for Beginners, Volume 1: Derivatives, has been written as a clear and practical introduction to one of the most important topics in calculus. It is designed for students who are just starting their journey in learning derivatives and want a step-by-step guide with carefully selected examples and explanations.
The main goal of this workbook is to build a solid foundation. We begin with the definition of the derivative at a point, then move on to basic formulas, properties, and techniques such as the chain rule. From there, we explore second derivatives, monotonicity, convexity, and the study of extreme values of functions. Each section is accompanied by worked examples to show how the ideas are applied in practice.
This book is not meant to overwhelm but to encourage. Whether you are preparing for exams, refreshing your knowledge, or studying calculus for the first time, I hope you find the explanations clear, the pace manageable, and the problems helpful.
Mathematics is best learned by doing. So, take your time, work through the exercises, and let this workbook guide you step by step toward mastering the basics of derivatives.
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