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A comprehensive overview of differentiation, covering essential concepts and techniques. It begins with an introduction to derivatives, explaining their significance in calculus and real-world applications. The document then delves into various differentiation rules, including the power rule, product rule, quotient rule, and chain rule, with detailed examples and step-by-step solutions. Additionally, it explores higher-order derivatives and their applications in optimization problems, curve sketching, and related rates. The document concludes with a summary of key concepts and practice problems to reinforce understanding, making it an invaluable resource for students and educators alike. This resource is designed to enhance understanding and proficiency in calculus.
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