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Differentiating inverse trig and hyperbolic functions: AQA A‑Level Further Maths questions

AQA A-Level Further Maths past-paper questions on E.5 Differentiating inverse trig and hyperbolic functions, 2019–2025, 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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682 questions

  1. Q3

    June 2025 · Paper 2

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  2. Q11

    June 2024 · Paper 1

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  3. Q3

    November 2020 · Paper 2

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All 3 questions on Differentiating inverse trig and hyperbolic functions, as a list
  1. June 2025, Paper 2, Q3 (1 mark): Find ( ) d d − − − 1 1 sin cos 2 x x x Circle your answer. [1 mark] − − 2 3 1 x − − 2 1 1 x − 2 1 1 x − 2 3 1 x
  2. June 2024, Paper 1, Q11 (5 marks): (a) Find d dx (x2tan–1 x) [1 mark] 11 (b) Hence find ∫2x tan–1 x dx [4 marks]
  3. November 2020, Paper 2, Q3 (1 mark): Find the gradient of the tangent to the curve y = sin×1 x at the point where x = 1 5 Circle your answer. [1 mark] 5 6 p 12 2 6 p 5 4 3 p 25 25 24 for the next q

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