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A comprehensive overview of derivatives in calculus, covering various aspects such as basic rules, chain rule, implicit differentiation, and applications. It includes detailed explanations and examples to illustrate each concept, making it suitable for students learning calculus. The document also explores higher-order derivatives and their applications in optimization problems, curve sketching, and related rates. It is designed to enhance understanding and problem-solving skills in calculus, offering a structured approach to mastering derivatives and their applications. Useful for university and high school students. (approximately 410 characters)
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