Mathematical concepts and techniques for finding rates of change, including rules, notations, and practical applications.

Most popular content: Derivatives and Applications

Mastering Differentiation Techniques

Explore essential differentiation methods, including first principles, increasing/decreasing functions, and the application of the quotient and chain rules. This summary covers key concepts such as finding gradients, stationary points, and differentiating trigonometric functions, providing a comprehensive overview for students preparing for exams.

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Maximizing Profit with Derivatives

Explore key concepts in differentiation, including first and second derivatives, critical points, and inflection points. This summary covers how to model profit maximization using calculus, with practical examples and applications relevant to WJEC AS Pure Mathematics. Ideal for students seeking to understand the fundamentals of differential calculus and its applications in real-world scenarios.

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First Principles Differentiation

Explore the fundamental concepts of differentiation from first principles. This study note provides step-by-step proofs for derivatives of functions like 4x, x³, and x², along with practical examples. Ideal for students mastering calculus derivatives and differentiation rules.

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Calculus: Chain Rule & Trigonometry

Explore advanced calculus concepts focusing on the Chain Rule, differentiation of trigonometric functions, and integration techniques. This study note includes detailed examples and rules essential for mastering differentiation and integration in higher mathematics. Ideal for students preparing for assessments in calculus.

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Advanced Functions & Derivatives

Explore key concepts in advanced mathematics including differentiation, straight lines, inverse functions, and critical points. This comprehensive guide covers the slope of tangent lines, the distance formula, and function transformations, providing essential insights for mastering calculus and algebra. Ideal for students preparing for exams or seeking to deepen their understanding of mathematical functions.

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Differentiation Techniques

Explore essential differentiation techniques through past paper questions in higher mathematics. This resource covers key concepts such as turning points, tangent equations, and curve sketching, providing students with practical applications of differentiation rules and higher-order derivatives.

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Differentiation Techniques Explained

Explore key differentiation concepts including the constant rule, derivative notation, and practical examples. This summary covers essential differentiation rules and their applications in finding gradients of curves, making it ideal for GCSE AQA Further Maths students.

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Quadratic Equations & Inequalities

Explore the Quadratic Formula and Discriminant to solve quadratic equations and analyze their roots. Learn methods for solving simultaneous equations, including elimination and substitution, and understand how to tackle linear and quadratic inequalities. This summary provides essential techniques and examples for mastering these key algebra concepts.

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