Analysis & Approaches HL · Topic 5 · Calculus

IB Math AA HL Differentiation Toolkit Worksheet (questions only)

The full HL differentiation toolkit: chain, product and quotient rules, implicit and related rates, and derivatives of all standard functions.

27 pages · 120 marks · questions only · free PDF for IB Mathematics: Analysis and Approaches HL students.

27pages
120marks
3difficulty levels
Nosolutions included
T5Calculus

Download the AA HL Differentiation Toolkit worksheet (PDF) ↓   All AA HL worksheets →

What this AA HL differentiation toolkit worksheet covers

The full HL differentiation toolkit: chain, product and quotient rules, implicit and related rates, and derivatives of all standard functions. 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.

Chain, product and quotient rules in combination
Derivatives of trigonometric, exponential and logarithmic functions
Implicit differentiation
Related rates of change
Exam tip for this topic. Name the rule you are using in the margin; it keeps the structure clear and earns method marks even with an arithmetic slip.

Preview

How to use it

  1. 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.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. For the third band, compare your method with the matching questions in the AA HL question bank; if you want this set marked, send it to Mr Ahmad.

More AA HL worksheets on Calculus

✓ = solutions included

Questions

Is this AA HL differentiation toolkit 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?

This set is questions only. If you would like it marked, or want the matching solutions, contact Mr Ahmad.

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 →
Mr. Ahmad · IB Maths TutorAsk me anything about lessons