plumiDifferentiating exponentials, logs and trig functions: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 7.4 Differentiating exponentials, logs and trig functions, 2010–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
Questions from
Paper
All papers
Exam
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 6 questions on Differentiating exponentials, logs and trig functions, as a list
- June 2024, Pure 1, Q3 (6 marks): f(x) = 1 3 tan 2 2 π x x π x < < Given that the equation f(x) = 0 has a single root α (a) show that α lies in the interval [3.6, 3.7] (2) (b) Find f′(
- June 2024, Pure 2, Q6 (7 marks): O y = f(x) y = g(x) x y Figure 1 Figure 1 shows a sketch of the curves with equations y = f(x) and y = g(x) where f(x) = e 4x2 – 1 x > 0 g(x) = 8 ln x x > 0 (a)
- June 2022, Pure 2, Q6 (7 marks): y x O α P Figure 2 Figure 2 shows a sketch of part of the curve with equation y = f(x) where f(x) = 8 sin 1 2 x − 3x + 9 x > 0 and x is measured in ra
- November 2021, Pure 2, Q13 (6 marks): The curve C has parametric equations x = sin 2θ y = cosec3 θ 0 < θ < π 2 (a) Find an expression for d d y x in terms of θ (3) (b) Hence find the exact value of
- November 2020, Pure 2, Q7 (10 marks): y P O x Figure 1 Figure 1 shows a sketch of the curve C with equation y = 4 2 2x x x + − 4 ln x x > 0 (a) Show that d d y x = 12 16 4 2x x x x x + − (4) The poi
- November 2020, Pure 2, Q13 (6 marks): The function g is defined by g (x) = 3 7 2 ln( ) ln( ) x x − − x > 0 x ≠ k where k is a constant. (a) Deduce the value of k. (1) (b) Prove that gʹ (x) > 0 for a
Questions, mark schemes and examiner’s reports are © Pearson Edexcel, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Edexcel A-Level Maths past papers, or our free Edexcel-style practice pack.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.