Foundations of Differentiation and Applications

Are you ready to unlock the power of calculus and understand how rates of change govern the world around us? This course provides a clear, comprehensive introduction to differentiation and its real-world applications. By the end of this course, you will possess a solid conceptual and practical understanding of derivatives, enabling you to confidently approach problems involving change, optimization, and modeling across science, engineering, and economics. What you'll learn: * Understand the fundamental concepts of limits and continuity as prerequisites for differentiation * Master the essential rules for differentiating various types of functions * Apply techniques like implicit differentiation and higher-order derivatives * Solve optimization problems to find maximum or minimum values in practical scenarios * Analyze related rates to determine how different quantities change in relation to each other * Interpret derivatives to sketch curves and understand function behavior * Practice applying differentiation concepts to foundational problems that build analytical skills This course progresses from the basic definitions and rules of differentiation to exploring its diverse applications. You will build your knowledge step-by-step through clear explanations and practical examples. This course is designed for absolute beginners with no prior calculus experience, requiring only a basic understanding of algebra. If you're eager to build a strong foundation in calculus, this course is for you.