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Differential calculus (as a book category) covers the theory, techniques and applications of derivatives and rates of change: limits, definitions of the derivative, rules of differentiation, implicit and higher-order derivatives, mean value theorems, and applications such as curve sketching, optimization, motion and related-rates problems. Titles in this category range from rigorous undergraduate texts emphasizing proofs and theoretical foundations to problem books and applied guides for engineers, physicists, and students learning techniques for modeling and computation; many include worked examples, exercises, and chapters connecting to multivariable and integral calculus. Prerequisites are typically algebra and precalculus, and some books also introduce numerical differentiation, Taylor polynomials, and real-analysis perspectives for advanced readers. This category is useful for high-school advanced placement learners, college students, instructors, and practitioners seeking practical methods or deeper conceptual understanding.

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