plumiPoints of inflection, concave and convex: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 7.7 Points of inflection, concave and convex, 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.
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All 3 questions on Points of inflection, concave and convex, as a list
- June 2023, Pure 2, Q1 (4 marks): f(x) = x 3 + 2x 2 – 8x + 5 (a) Find f ′′(x) (2) (b) (i) Solve f ′′(x) = 0 (ii) Hence find the range of values of x for which f(x) is concave. (2)
- November 2021, Pure 2, Q5 (7 marks): The curve C has equation y = 5x4 – 24x3 + 42x2 – 32x + 11 x ∈ (a) Find (i) d d y x (ii) d d 2 2 y x (3) (b) (i) Verify that C has a stationary point at x = 1
- November 2020, Pure 1, Q15 (7 marks): The curve C has equation x2 tan y = 9 0 < y < 2 π (a) Show that d d y x = − + 18 81 4 x x (4) (b) Prove that C has a point of inflection at x = 27 4 (3)
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