IB Math AA HL Applications of Differentiation Worksheet (with full solutions)
Using derivatives to solve real problems: tangents and normals, rates of change, optimisation and related rates.
26 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Analysis and Approaches HL students.
Download the AA HL Applications of Differentiation worksheet (PDF) ↓ All AA HL worksheets →
What this AA HL applications of differentiation worksheet covers
Using derivatives to solve real problems: tangents and normals, rates of change, optimisation and related rates. The questions follow the order of the AA HL 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 AA HL 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 AA HL worksheets on Calculus
✓ = solutions included
Questions
Is this AA HL applications of 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: Analysis and Approaches HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.
Stuck on a question from this sheet?
Mr Ahmad tutors IB Mathematics: Analysis and Approaches HL students in Dubai and online — topic drills like this one, past-paper technique and IA support.
Book a 50% Off Trial Lesson →