Analysis & Approaches SL · Topic 5 · Calculus

IB Math AA SL Further Differentiation Worksheet (with full solutions)

Extending the differentiation rules to products, quotients and composite functions, and to trigonometric and exponential functions.

27 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Analysis and Approaches SL students.

27pages
120marks
3difficulty levels
Yessolutions included
T5Calculus

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What this AA SL further differentiation worksheet covers

Extending the differentiation rules to products, quotients and composite functions, and to trigonometric and exponential functions. The questions follow the order of the AA 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.

Chain rule
Product and quotient rules
Derivatives of sin, cos, eˣ and ln x
Second derivatives and points of inflexion
Exam tip for this topic. Write u and v (or the inner function) explicitly before applying a rule; silent differentiation hides errors.

Preview

How to use it

  1. Do the first band without the AA SL 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. Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.

More AA SL worksheets on Calculus

✓ = solutions included

The same topic for other courses

Questions

Is this AA SL further 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 SL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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