OCR•A-Level•Mathematics
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Differentiation
Derivatives, chain rule, product rule, quotient rule, and applications
Practice 30 subtopics in Differentiation. All questions match the OCR A-Level specification.
About Differentiation
Differentiation is a key topic in the OCR A-Level Mathematicsspecification. This topic covers derivatives, chain rule, product rule, quotient rule, and applications.
Master all 30 subtopics below with unlimited AI-generated questions. Each subtopic page includes sample questions and the ability to generate unlimited practice questions with detailed solutions.
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Differentiation from first principlesUnderstanding derivative as gradient of tangentUnderstanding derivative as rate of changeDifferentiating xⁿ for all rational nDifferentiating eᵏˣDifferentiating aˣDifferentiating ln xDifferentiating sin kx, cos kx, tan kxDifferentiating sec x, cosec x, cot xSum and difference rulesChain ruleProduct ruleQuotient ruleImplicit differentiationSecond derivativesHigher order derivativesDifferentiating parametric equationsFinding dy/dx = (dy/dt)/(dx/dt)Second derivatives parametricallyEquations of tangents to curvesEquations of normals to curvesStationary pointsClassifying stationary points (1st derivative test)Classifying stationary points (2nd derivative test)Points of inflectionOptimisation problemsRates of changeConnected rates of changeRelated rates problemsDifferentiation in modelling contexts
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