Foundations of Differentiation

Are you looking to build a solid understanding of how functions change and interact? This course demystifies the fundamental concepts of differentiation, equipping you with the analytical tools to explore rates of change. You will gain a clear grasp of differentiation techniques, enabling you to analyze functions, understand their behavior, and solve a variety of mathematical challenges. This knowledge is foundational for many areas of science, engineering, and economics. What you'll learn: * Understand the concept of limits as the basis for derivatives. * Master the basic rules of differentiation, including power, product, and quotient rules. * Apply the chain rule to differentiate composite functions. * Learn to find derivatives of trigonometric, exponential, and logarithmic functions. * Practice using differentiation to solve problems involving rates of change and optimization. * Explore implicit differentiation for functions not explicitly defined. The course begins with the essential groundwork of limits and progresses systematically through differentiation rules and applications. This text-based program is designed for beginners with no prior calculus experience. Start your journey into the world of calculus today.