What types of questions are included in this IB Math AA SL Differentiation worksheet?

This worksheet includes MCQs, short-answer questions, structured step-based problems, and application-based problems aligned with the IB Mathematics: Analysis & Approaches SL syllabus.

Can I download this Differentiation question paper as a PDF?

The free preview shows 5 sample questions. To download a full 25-question printable PDF with a worked answer key, sign up for a free TeachEasy account — no credit card required.

Is this worksheet useful for IB exam preparation in Singapore?

Yes. Questions are mapped to the IB Mathematics: Analysis & Approaches SL syllabus content on differentiation, tangents, and rates of change — core topics tested in Paper 1 and Paper 2.

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Are step-by-step solutions included?

The 5 preview questions show the problem statements only. A full answer key with step-by-step solutions for all 25 questions is available inside TeachEasy after you create a free account.

IB Mathematics: Analysis & Approaches SL — Differentiation Question Paper & Practice Test

25 syllabus-aligned questions on differentiation rules, tangents, and rates of change for Singapore's IB Diploma students. Preview 5 for free — sign up to generate, customize, and download the complete test as a printable PDF.

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Preview 5 Differentiation Questions

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IB Mathematics AA SL — Differentiation

25-Question Practice Test · Mixed Difficulty · IB-Aligned

MCQ

Q1.

What is the derivative of f(x) = 3x² − 4x + 5?

A) 6x − 4

B) 3x − 4

C) 6x² − 4

D) 6x + 5

Correct Answer: A

Short Answer

Q2.

State the derivative of sin(x) and cos(x) with respect to x.

Structured Question

Q3.

Find the equation of the tangent to the curve y = x³ − 2x at the point where x = 1, showing all working.

Application Problem

Q4.

The height of a ball thrown into the air is modelled by h(t) = −5t² + 20t, where h is in metres and t is in seconds. Find the rate of change of height with respect to time at t = 1 second, and interpret your answer.

MCQ

Q5.

At a point where f'(x) = 0 and f''(x) < 0, the function has a:

A) Local minimum

B) Local maximum

C) Point of inflection

D) Discontinuity

Correct Answer: B

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