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A comprehensive overview of differentiation, covering essential concepts and techniques in calculus. It begins with an introduction to derivatives, explaining their significance in determining rates of change and slopes of curves. The document then delves into various differentiation rules, including the power rule, product rule, quotient rule, and chain rule, providing detailed explanations and examples for each. Additionally, it explores applications of derivatives, such as finding critical points, determining intervals of increase and decrease, and optimizing functions. The document also covers higher-order derivatives and their applications in analyzing the concavity of curves. This resource is designed to enhance understanding and proficiency in differentiation, making it an invaluable tool for students and professionals in mathematics, engineering, and related fields. (447 characters)
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