Cambridge IGCSE
Additional Mathematics 0606
Taken alongside 0580 by students heading for A-level, the IB Higher Level, engineering or medicine. Calculus is its heaviest topic, so that is where these lessons begin.
Syllabus for exams 2025 – 2027
Paper 1 · 2 h · 80 marks · no calculator
Paper 2 · 2 h · 80 marks · calculator
Unit 12 · Calculus
Differentiation
Nine lessons, each about ninety minutes, worked through in order. Lessons 01 and 04 are open to everyone; the full series is for enrolled students.
- 01The derivative, from zero→ Chords, tangents and notation, then the six standard derivatives.
- 02The three rulesEnrolled Chain, product and quotient — one at a time.
- 03Tangents and normalsEnrolled The gradient at a point, and the lines that meet the curve there.
- 04Stationary points→ Finding them, and telling a maximum from a minimum.
- 05OptimisationEnrolled Practical maxima and minima, from the constraint to the answer.
- 06Connected rates of changeEnrolled Linking one rate to another with the chain rule.
- 07Small incrementsEnrolled Approximating a small change with the derivative.
- 08KinematicsEnrolled Displacement, velocity and acceleration in a straight line.
- 09RevisionEnrolled Recognising each question type, then mixed exam-style practice.
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