plumiDifferentiating inverse trig and hyperbolic functions: OCR A‑Level Further Maths questions
OCR 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.
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 PDFLoading the question…
Open the full PDF
All 7 questions on Differentiating inverse trig and hyperbolic functions, as a list
- June 2025, Pure Core 1, Q2 (5 marks): - b y d in terms of x. l, find x 1 1 2 (a) Given that y cosh x [1] = d 3 - b l at the point where x 1 1 (b) Determine an equation of the normal to the curve y c
- June 2024, Pure Core 1, Q1 (3 marks): d . y 1 2 1 y x [3] Given that sin - ( ) , find x = d
- June 2023, Pure Core 1, Q9 (14 marks): In this question you must show detailed reasoning. (a) Use de Moivre’s theorem to determine constants A, B and C such that 4 sin A cos 4 B cos 2 C . [5] + i + i
- June 2023, Pure Core 2, Q3 (6 marks): ^ h d 1 1 3 (a) Show that sinh - u . [2] = u d 2 u 1 + 1 (b) Find the equation of the normal to the graph of y sinh - 2 x at the point where x 6 . = = Give your
- November 2021, Pure Core 1, Q2 (8 marks): 2 You are given that ( ) f x tan - ( 1 x ) . = + (a) (i) Find the value of ( ) f 0 . [1] (ii) Determine the value of f l ( ) 0 . [2] 1 (iii) Show that f ( ) 0 .
- November 2020, Pure Core 2, Q10 (10 marks): 10 Let ( ) f x sin - ( ) x . = (a) (i) Determine f ll ( )x . [2] (ii) Determine the first two non-zero terms of the Maclaurin expansion for ( )x f . [3] (iii) B
- June 2019, Pure Core 1, Q6 (6 marks): tan 1 6 You are given that y - 2 x . = d . y (a) Find d [2] x x 1 y (b) Show that d x k where k is a number to be determined in exact form. [4] 2 ^ h = r 2 2 x
Questions, mark schemes and examiner’s reports are © OCR, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? OCR A-Level Further Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.