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Calculus is a cornerstone of competitive mathematics, and mastering differentiation is essential for solving complex engineering and science entrance problems. This text-only course breaks down the mechanics of derivatives into clear, structured, and manageable written concepts. You will transition from basic definitions to advanced rules, learning how to approach complex problems systematically. By completing this course, you will build a strong mathematical foundation, allowing you to identify the most efficient differentiation method for any given function and execute it without errors. What you'll learn: - Understand the core definition of a derivative and foundational differentiation formulas - Apply the chain rule efficiently to composite functions using structured written steps - Solve derivatives of implicit, parametric, and logarithmic functions - Differentiate one function with respect to another function systematically - Calculate higher-order derivatives and evaluate determinants containing differentiable functions - Practice modern problem-solving strategies designed for competitive mathematics exams The course begins with essential terminology and fundamental rules before guiding you through advanced techniques like logarithmic differentiation and determinant calculus, supported by step-by-step written derivations and practice exercises. This course is designed for beginners and intermediate math students preparing for competitive exams, requiring only a basic understanding of algebra and trigonometry. Start reading today to sharpen your calculus skills and master the methods of differentiation.