Basic Calculus: Understanding Derivatives and Rates of Change

Calculus does not have to be intimidating. Understanding derivatives is the key to unlocking how things change, bend, and optimize in physics, economics, and modern data science. This text-based course guides you step-by-step through the fundamental principles of differential calculus. You will build a strong intuitive understanding of rates of change, master essential calculation rules, and see how these mathematical concepts apply to practical scenarios. What you will learn: Understand the fundamental concept of limits and how they define a derivative; Apply core derivative rules, including the power, product, quotient, and chain rules; Calculate rates of change and analyze functions to find slopes and tangent lines; Solve practical optimization problems to find maximum and minimum values; Explore how derivatives are used in modern fields like machine learning and economics. You will start with foundational definitions and intuitive explanations of motion and change. From there, the text guides you through algebraic techniques, step-by-step derivative calculations, and real-world applications. This course is designed for absolute beginners, students preparing for higher-level math, or professionals looking to refresh their quantitative skills. No prior calculus experience is required. Start reading today to build a confident foundation in calculus.