Edexcelā¢A-Levelā¢Mathematics
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Differentiation
Derivatives, chain rule, product rule, quotient rule, implicit and parametric differentiation
Practice 33 subtopics in Differentiation. All questions match the Edexcel A-Level specification.
About Differentiation
Differentiation is a key topic in the Edexcel A-Level Mathematicsspecification. This topic covers derivatives, chain rule, product rule, quotient rule, implicit and parametric differentiation.
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Differentiation from first principlesUnderstanding derivative as gradient of tangentUnderstanding derivative as rate of changeDifferentiating xāæ for all rational nDifferentiating sums and differencesDifferentiating polynomialsEquations of tangents to curvesEquations of normals to curvesFinding stationary pointsClassifying stationary points (first derivative test)Second derivative test for max/minSketching curves using calculusOptimisation problemsChain rule: dy/dx = (dy/du)(du/dx)Differentiating composite functionsDifferentiating f(ax + b)Differentiating eĖ£ and e^(kx)Differentiating aĖ£Differentiating ln x and ln(f(x))Differentiating sin x, cos x, tan xDifferentiating sin(kx), cos(kx), tan(kx)Differentiating sec x, cosec x, cot xProduct rule: d/dx(uv) = u(dv/dx) + v(du/dx)Quotient rule: d/dx(u/v) = (v(du/dx) - u(dv/dx))/vĀ²Implicit differentiationFinding dy/dx from implicit equationsTangents and normals to implicit curvesParametric differentiation: dy/dx = (dy/dt)/(dx/dt)Tangents and normals to parametric curvesSecond derivatives of parametric curvesRelated rates of changeUsing chain rule for connected ratesModelling with rates of change
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