plumiDifferentiating inverse trig and hyperbolic functions: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 5.5 Differentiating inverse trig and hyperbolic functions, 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 Differentiating inverse trig and hyperbolic functions, as a list
- June 2025, Core Pure 2, Q9 (7 marks): Given that y x = arcsin3 −1 3 1 3 x (a) determine d d y x in terms of x (2) The curve C has equation y x cos arcsin3 −1 3 1 3 x (b) Determine d d y x gi
- June 2024, Core Pure 2, Q2 (8 marks): f(x) = tanh 1 3 6 3 2 x x x < (a) Show that f′(x) = – 1 2 3 x + (4) (b) Hence determine f′′(x) (1) (c) Hence show that the Maclaurin series for f(x), up
- June 2022, Core Pure 2, Q5 (6 marks): (a) Given that y = arcsin x –1 x 1 show that d d y x x = − 1 1 2 (3) (b) f(x) = arcsin (e x) x 0 Prove that f(x) has no stationary points. (3)
- November 2021, Core Pure 2, Q3 (6 marks): f (x) = arcsin x −1 x 1 (a) Determine the first two non-zero terms, in ascending powers of x, of the Maclaurin series for f (x) , giving each coefficient in
- November 2021, Core Pure 2, Q5 (8 marks): The curve C has equation y = arccos 1 2 x −2 x 2 (a) Show that C has no stationary points. (3) The normal to C, at the point where x = 1 , crosses
- November 2020, Core Pure 2, Q5 (10 marks): (a) y = tan−1 x Assuming the derivative of tan x , prove that d d y x x = + 1 1 2 (3) f ( x ) = x tan−1 4x (b) Show that f d ( ) tan tan x x Ax x Bx C x k ∫ = +
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