IB Math AI HL · 2021 to 2025

5.3 Introduction to derivatives

25 past paper questions from 20 papers across 11 exam sessions. See what repeats, then practise the same skills with AI marking.

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HL archive · 2021 to 2026

5.3 Introduction to derivatives

Latest exam session: May 2026

questions
25
questions
papers
20
papers
exam sessions
11
exam sessions
micro-topics
2

Micro-topics in 5.3 Introduction to derivatives

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

  • 6

    5.3.1

    Introduction to Differentiation

    6 questions · in 6% of papers

    Occasional

    last May 26 P1 TZ3

  • 27

    5.3.2

    The Power Rule for Polynomials

    19 questions · in 27% of papers

    Frequently tested

    last Nov 25 P2

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
5.3.2The Power Rule for PolynomialsFrequently tested
3The Power Rule for Polynomials, 2021: 3 questions4The Power Rule for Polynomials, 2022: 4 questions3The Power Rule for Polynomials, 2023: 3 questions2The Power Rule for Polynomials, 2024: 2 questions7The Power Rule for Polynomials, 2025: 7 questions·The Power Rule for Polynomials, 2026: 0 questions
5.3.1Introduction to DifferentiationOccasional
2Introduction to Differentiation, 2021: 2 questions1Introduction to Differentiation, 2022: 1 question·Introduction to Differentiation, 2023: 0 questions·Introduction to Differentiation, 2024: 0 questions2Introduction to Differentiation, 2025: 2 questions1Introduction to Differentiation, 2026: 1 question
  • Frequently testedin at least a quarter of all papers, and still appearing in the last two years
  • Occasionalin about one paper in ten

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Questions on 5.3 Introduction to derivatives, by exam session

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Frequently asked questions

Short answers about this page.

Which Math AI HL exam sessions are covered for 5.3 Introduction to derivatives?

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 20 papers in this archive.

Which 5.3 Introduction to derivatives topic comes up most?

The Power Rule for Polynomials (5.3.2): in 27% of papers, last seen Nov 25 P2. Usually "Find", worth about 2.8 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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