Differentiation — JAMB Mathematics Past Questions
Differentiation is one topic inside the JAMB Mathematics syllabus, and drilling it on its own is usually faster than revising the whole subject again. Below: which JAMB years have examined it, then real Differentiation questions with worked answers.
When JAMB examined Differentiation
Differentiation questions appear in our bank for the JAMB years below. This is taken from the questions themselves, not from a syllabus outline — so if a year is listed, this topic was genuinely examined that year.
A topic that keeps reappearing is a topic JAMB keeps testing. Newer years matter most, because question style drifts.
Try Differentiation questions
Real Mathematics questions tagged to Differentiation. The first is worked through completely so you can see how our explanations read — the rest you can attempt now and check inside the app.
Instruction: Choose the correct option.\n\nThe fourth order derivative of \(f(x) = e^x \cos x\) is:
- A 4e^x \cos x
- B -4e^x \cos x
- C xe^x \cos x
- D -4xe^x \cos x
Answer: B
Compute derivatives stepwise:\n\(f'(x) = e^x(\cos x - \sin x)\)\n\(f''(x) = e^x(-2\sin x)\)\n\(f^{(3)}(x) = -2e^x(\sin x + \cos x)\)\n\(f^{(4)}(x) = -4e^x \cos x\).
Evaluate \(\frac{d}{dx}(\sqrt{x})\); if \(x=16\)
- A \(\tfrac{1}{4}\)
- B \(\tfrac{1}{8}\)
- C -\(\tfrac{1}{4}\)
- D -\(\tfrac{1}{8}\)
Answer and full explanation are inside the app.
Check the answerIf \(u = \sin^{-1}(3\theta)\); then \(\frac{du}{d\theta}\) is equal to?
- A \(3(1-9\theta^2)^{-1/2}\)
- B -3(1+9\theta^2)^{-1/2}
- C \(9(1-3\theta^2)\)
- D -3(1-9\theta^2)^{-1/2}
Answer and full explanation are inside the app.
Check the answerOther Mathematics topics
Drill Differentiation until it stops costing you marks
Filter Mathematics practice to Differentiation alone, work through it with worked explanations, and let the analytics show you when it has actually stuck. Free to start.
Differentiation in JAMB Mathematics: common questions
Are Differentiation questions free?
Yes. Create a free account and every Mathematics question tagged to Differentiation is available with a worked explanation. Past questions are not paywalled.
Is Differentiation really examined?
Yes. Differentiation appears in our bank across 12 JAMB years, taken from the questions themselves rather than a syllabus outline.
Can I practise Differentiation on its own?
Yes. JambUp lets you filter Mathematics questions to a single topic, so you can drill Differentiation until it stops costing you marks, then move on to the next weak area.