Calculus Fundamentals: Rate of Change and Derivatives

Unlock the foundational principles of calculus to precisely measure change in dynamic systems. This course will guide you through the essential concepts of differential calculus, enabling you to analyze rates of change for any function, from simple lines to complex curves. What you'll learn: * Understand the fundamental concept of limits and their application to continuity. * Grasp the definition of a derivative as an instantaneous rate of change. * Apply basic differentiation rules to find derivatives of common functions. * Interpret the geometric meaning of a derivative as the slope of a tangent line. * Analyze how derivatives reveal the behavior of functions, including increasing and decreasing intervals. Starting with basic definitions and concepts, this course systematically builds your knowledge of differential calculus through clear explanations and practical exercises. This course is designed for absolute beginners with no prior calculus knowledge, offering a solid foundation for further study. Begin your journey into the world of calculus and master the art of understanding change.