IB Math AI HL · 2021 to 2025

5.9 Differentiation rules (HL only)

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HL archive · 2021 to 2026

5.9 Differentiation rules (HL only)

Latest exam session: May 2026

questions
questions
papers
papers
exam sessions
exam sessions
By year3micro-topics

Micro-topics in 5.9 Differentiation rules (HL only)

In syllabus order. The ring is the share of papers each appears in.

  • 3

    5.9.1

    Standard derivatives

    2 questions · in 3% of papers

    Less common

    last May 26 P1 TZ2

  • 33

    5.9.2

    Product, quotient & chain rules

    22 questions · in 33% of papers

    Frequently tested

    last May 26 P3 TZ3

  • 16

    5.9.3

    Related rates of change

    12 questions · in 16% of papers

    Regular

    last May 26 P1 TZ2

Exam pattern

How often each micro-topic has been examined, year by year. Each label is explained under the grid.

Does it repeat?

Questions per year for each micro-topic.

fewermore

Micro-topic202120222023202420252026
5.9.2Product, quotient & chain rulesFrequently tested
4Product, quotient & chain rules, 2021: 4 questions2Product, quotient & chain rules, 2022: 2 questions6Product, quotient & chain rules, 2023: 6 questions3Product, quotient & chain rules, 2024: 3 questions4Product, quotient & chain rules, 2025: 4 questions3Product, quotient & chain rules, 2026: 3 questions
5.9.3Related rates of changeRegular
1Related rates of change, 2021: 1 question2Related rates of change, 2022: 2 questions4Related rates of change, 2023: 4 questions1Related rates of change, 2024: 1 question3Related rates of change, 2025: 3 questions1Related rates of change, 2026: 1 question
5.9.1Standard derivativesLess common
·Standard derivatives, 2021: 0 questions·Standard derivatives, 2022: 0 questions1Standard derivatives, 2023: 1 question·Standard derivatives, 2024: 0 questions·Standard derivatives, 2025: 0 questions1Standard derivatives, 2026: 1 question
  • Frequently testedin at least a quarter of all papers, and still appearing in the last two years
  • Regularin roughly one paper in six or more
  • Less commonin fewer than one paper in fifteen

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Questions on 5.9 Differentiation rules (HL only), by exam session

Which papers asked about 5.9 Differentiation rules (HL only), and which question numbers. Open a paper to see them highlighted.

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Frequently asked questions

Short answers about this page.

Which Math AI HL exam sessions are covered for 5.9 Differentiation rules (HL only)?

12 exam sessions from 2021 to 2026, the latest May 2026. Every Paper 1, 2 and 3 in every timezone is read and classified in full, which gives 27 papers in this archive.

Which 5.9 Differentiation rules (HL only) topic comes up most?

Product, quotient & chain rules (5.9.2): in 33% of papers, last seen May 26 P3 TZ3. Usually "Find", worth about 3 marks in a paper that includes it.

Can I see the original question and mark scheme?

No. The wording belongs to the IB. You get the citation, the marks, the command term and the skill tested, plus our own matched practice questions with worked answers and AI marking.

What do "banker", "due" and "rising" mean?

Banker: examined in at least one sitting in four and still appearing. Due: regular before, but absent for the last two exam sessions. Rising: clearly more common in the last two years. Our classification of real papers, not an IB statistic.

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Reading this page and the exam pattern is free. A free account generates three sets of ten questions and launches one practice set. Pro opens every question in any scope, sets of twenty or all, and unlimited practice.

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