# 9709 P3 Differentiation Topic Questions

> CIE IAL 9709 P3: every Differentiation topic question from 49 papers (2020–2026), grouped by syllabus point. 134 questions, 557 marks, with direct links…

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CIE IAL · Mathematics · 9709 P3 · A Level

Every 9709 P3 Differentiation topic question from the 2020–2027 syllabus, drawn from 49 papers (2020–2026) and grouped by syllabus point. Each row opens a page listing the exact question numbers, marks and a direct link into the paper. These are questions by topic, not full papers, so you can revise one topic at a time.

- 9709 P3
- 3 subtopics
- 134 topic questions
- 49 papers
- 557 tagged marks
- [Back to Differentiation](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/)
- [All paper codes](https://www.examsci.com/topics/)

Core finding

**differentiate products and quotients is the most frequently assessed subtopic in Differentiation, with 58 topic questions and 262 marks across 39 papers.** use the derivatives of …, …, …, …, …, …, together with… follows with 58 topic questions and 260 marks. The topic contains 3 subtopics, 134 topic questions and 557 marks in total. Rows count only the parts tagged to that subtopic, keep the same colour in both charts and repeat paper count, tagged marks and year range in the native table.

## Topic question count and mark distribution

Subtopics are on the vertical axis and sorted from highest to lowest. Only the parts whose knowledge graph matches a subtopic are counted for it, and percentages are each row's share of the tagged total in that chart. A part tagged to several subtopics is counted in each bar, so the bars are not a partition of the topic total.

### Questions by subtopic

question items

- [• differentiate products and quotients](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/differentiate-products-and-quotients/) (39 papers) — 58 · 33.9%
- [• use the derivatives of $\mathrm{e}^x$, $\ln x$, $\sin x$, $\cos x$, $\tan x$, $\tan^{-1}x$, together with constant multiples, sums, differences and composites](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/use-the-derivatives-of-mathrm-e-x-ln-x-sin-x-cos-x-tan-x-tan-1-x-together-with/) (35 papers) — 58 · 33.9%
- [• find and use the first derivative of a function which is defined parametrically or implicitly](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/find-and-use-the-first-derivative-of-a-function-which-is-defined-parametrically-or/) (34 papers) — 55 · 32.2%

### Marks by subtopic

marks

- [• differentiate products and quotients](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/differentiate-products-and-quotients/) (39 papers) — 262 · 34.8%
- [• use the derivatives of $\mathrm{e}^x$, $\ln x$, $\sin x$, $\cos x$, $\tan x$, $\tan^{-1}x$, together with constant multiples, sums, differences and composites](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/use-the-derivatives-of-mathrm-e-x-ln-x-sin-x-cos-x-tan-x-tan-1-x-together-with/) (35 papers) — 260 · 34.6%
- [• find and use the first derivative of a function which is defined parametrically or implicitly](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/find-and-use-the-first-derivative-of-a-function-which-is-defined-parametrically-or/) (34 papers) — 230 · 30.6%

## Subtopic comparison matrix

Curriculum order is by syllabus number, then alphabetically. Every row links to the matching past-paper question list.

| Subtopic | Topic questions | Papers | Marks | Years | |
| --- | --- | --- | --- | --- | --- |
| **[• differentiate products and quotients](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/differentiate-products-and-quotients/)** | 58 | 39 | 262 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/differentiate-products-and-quotients/) |
| **[• find and use the first derivative of a function which is defined parametrically or implicitly](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/find-and-use-the-first-derivative-of-a-function-which-is-defined-parametrically-or/)** | 55 | 34 | 230 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/find-and-use-the-first-derivative-of-a-function-which-is-defined-parametrically-or/) |
| **[• use the derivatives of $\mathrm{e}^x$, $\ln x$, $\sin x$, $\cos x$, $\tan x$, $\tan^{-1}x$, together with constant multiples, sums, differences and composites](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/use-the-derivatives-of-mathrm-e-x-ln-x-sin-x-cos-x-tan-x-tan-1-x-together-with/)** | 58 | 35 | 260 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/use-the-derivatives-of-mathrm-e-x-ln-x-sin-x-cos-x-tan-x-tan-1-x-together-with/) |

## Browse every topic question

- [• differentiate products and quotients](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/differentiate-products-and-quotients/) — 58 question items · 39 papers — 262 marks · 2020–2026
- [• find and use the first derivative of a function which is defined parametrically or implicitly](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/find-and-use-the-first-derivative-of-a-function-which-is-defined-parametrically-or/) — 55 question items · 34 papers — 230 marks · 2020–2026
- [• use the derivatives of $\mathrm{e}^x$, $\ln x$, $\sin x$, $\cos x$, $\tan x$, $\tan^{-1}x$, together with constant multiples, sums, differences and composites](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differentiation/use-the-derivatives-of-mathrm-e-x-ln-x-sin-x-cos-x-tan-x-tan-1-x-together-with/) — 58 question items · 35 papers — 260 marks · 2020–2026

## Other topics in 9709 P3

- [Algebra 156 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/algebra/)
- [Complex numbers 152 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/complex-numbers/)
- [Differential equations 75 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/differential-equations/)
- [Integration 114 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/integration/)
- [Logarithmic and exponential functions 68 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/logarithmic-and-exponential-functions/)
- [Numerical solution of equations 131 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/numerical-solution-of-equations/)
- [Trigonometry 138 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/trigonometry/)
- [Vectors 133 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p3/vectors/)

## Topic question rules and edge cases

**How many subtopics does Differentiation contain?**

This page lists 3 subtopics tagged to the current syllabus. They are ordered by syllabus number, then alphabetically, and each row opens a page of matching past-paper questions.

**How are the subtopic question and mark totals calculated?**

A multiple-choice question contributes one item and its marks to every subtopic it is tagged with. A structured question contributes one item per tagged part, and that part’s marks; untagged parts of the same question are not counted here. A part tagged to several subtopics therefore appears under each of them.

**Why do some subtopics have no numbered prefix?**

Practical-skills statements and some syllabus bullets are unnumbered. Numbered statements come first; unnumbered statements and ties are sorted alphabetically.

**Is the LaTeX rendered without JavaScript?**

Yes. Subtopics that contain formulas are converted to static KaTeX HTML during the build, and the KaTeX stylesheet is served from the same site.

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