Calculus- Differentiation Applications (IGCSE/GCE O Level ADD MATHS) 0606

Title: Exploring Calculus: Applications of Differentiation in IGCSE | Practical Examples Welcome back to our calculus tutorial series tailored for IGCSE students! In this video, we dive into the practical applications of differentiation, unraveling its significance through real-world scenarios. Forming Equations of Tangents and Normals: Discover how to derive equations of tangents and normals to curves, a fundamental skill useful in various mathematical contexts. Counting Rate of Change: Learn how to calculate rates of change using differentiation, a crucial tool for analyzing dynamic systems and processes. Quantifying the Effect of Small Changes: Delve into the concept of differential calculus, where we explore how small changes in variables affect outcomes in practical situations. Kinematics: Velocity and Acceleration Equations: Explore how calculus enables us to derive equations for velocity and acceleration from displacement, crucial in understanding motion dynamics. Optimization: Finding Maximum/Minimum Points: Unlock the power of optimization as we demonstrate how to use differentiation to find maximum or minimum points, crucial in maximizing efficiency or minimizing costs in various scenarios. Through these five applications, you'll not only grasp the theoretical aspects of calculus but also witness its real-world utility. Join us as we bridge the gap between theory and application, empowering you to tackle complex problems with confidence. Don't miss out on this opportunity to enhance your calculus skills and excel in your IGCSE exams. Remember to like, subscribe, and hit the notification bell to stay updated on our latest tutorials. Let's embark on this journey of mathematical exploration together! 00:00 intro 00:33 equation of tangent 02:23 equation of normal 07:08 rate of change 12:40 small changes (approximate change) 16:58 kinematics (sva) 19:22 max/ min (turning point, second derivatives) 22:56 max/ min (application)