IB Math AI SL Differentiation Worksheet (with full solutions)
The core rules of differentiation and their first uses: gradients, tangents and increasing/decreasing functions.
26 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Applications and Interpretation SL students.
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What this AI SL differentiation worksheet covers
The core rules of differentiation and their first uses: gradients, tangents and increasing/decreasing functions. The questions follow the order of the AI SL syllabus for Topic 5 (Calculus) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.
Preview
How to use it
- Do the first band without the AI SL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
- Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
- Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.
More AI SL worksheets on Calculus
✓ = solutions included
The same topic for other courses
Questions
Is this AI SL differentiation worksheet free?
Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.
Does it come with answers?
Yes, full worked solutions are included at the end of the PDF.
Which IB course is it for?
IB Mathematics: Applications and Interpretation SL. The same topic is also available for the other courses where it is on the syllabus — see the links above.
Related IB Math resources
Keep practising AI SL
- IB Math AI SL worksheets by topic — topic-by-topic practice for every AI SL unit.
- free IB Math worksheets with answers (AA and AI, SL and HL) — over 100 topic worksheets, 120 marks each, many with full solutions.
- AI SL question bank by topic — practice questions for every AI SL topic.
- IB Math AI SL formula booklet — every formula explained — the full AI SL booklet section by section, what to memorise and the ten most-used formulas.
- IB Math AI SL tutoring and course guide — syllabus, exam structure and how tutoring works for AI SL.
- IB Math past papers and mark schemes — how to use past papers and mark schemes properly.
- IB Math exam tips and strategies — timing, calculator use and mark-scheme habits.
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