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A comprehensive overview of differentiation in calculus, covering fundamental concepts and practical applications. It begins with an introduction to derivatives, explaining their definition and significance in analyzing functions. The document then delves into various differentiation techniques, including the power rule, product rule, quotient rule, and chain rule, providing step-by-step examples for each. Additionally, it explores applications of derivatives in optimization problems, curve sketching, and related rates, demonstrating their utility in solving real-world problems. The document concludes with a summary of key concepts and practice exercises to reinforce understanding, making it a valuable resource for students studying calculus. Useful for university and high school students.
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