plumiPoints of inflection, concave and convex: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on G.7 Points of inflection, concave and convex, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 6 questions on Points of inflection, concave and convex, as a list
- June 2025, Paper 2, Q10 (13 marks): A curve C has equation y = xk ln x for x > 0 where k is a positive integer. 10 (a) Show that dy dx = xk–1 [A + k ln x] where A is a constant to be found. [4 mar
- June 2025, Paper 3, Q3 (1 mark): The function f is defined by f(x) = ex for x ∈ ℝ Identify which one of the following statements describes the function f Tick (✓) one box. [1 mark] Decreasing a
- June 2024, Paper 2, Q10 (4 marks): The function f is defined by f (x) = x2 + 2 cos x for – π ≤ x ≤ π Determine whether the curve with equation y = f (x) has a point of inflection at the point whe
- June 2022, Paper 2, Q3 (1 mark): The function f is concave and is represented by one of the graphs below. Identify the graph which represents f. Tick (3) one box. [1 mark] x y O x y O x y O x y
- November 2021, Paper 2, Q2 (1 mark): A curve has equation y = f (x) The curve has a point of inflection at x = 7 It is given that f 0(7) = a and f 00(7) = b , where a and b are real numbers. Identi
- June 2018, Paper 3, Q6 (13 marks): A function f is defined by f (x) = x 2x − 2 p 6 (a) State the maximum possible domain of f. [2 marks] 6 (b) Use the quotient rule to show that f 0(x) = x − 2 (2
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