plumiDifferentiating exponentials, logs and trig functions: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 7.4 Differentiating exponentials, logs and trig 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 5 questions on Differentiating exponentials, logs and trig functions, as a list
- June 2025, Paper 3, Q6 (3 marks): The diagram shows the curve with equation y f ( ) x , where ( ) f x 13 x 34 ln ( ) x 1 5 . for = = - - x 0 . 2 y 5 4 3 2 1 0 x 0 1 2 3 4 5 (a) A student attempt
- June 2025, Paper 3, Q9 (5 marks): 3 x 9 The function ( ) f x is defined on all real numbers by ( ) f x x e . = + 3 3 x (a) Differentiate x e . [2] + (b) Write down the coordinates of the point w
- June 2023, Paper 1, Q11 (10 marks): The height h cm of a sunflower plant t days after planting the seed is modelled by h a b ln t = + for t 9 , where a and b are constants. The sunflower is 10 cm
- June 2022, Paper 3, Q9 (2 marks): Show that y = has the same gradient as x y sin x when x 0 , as stated in line 5. [2] = =
- November 2020, Paper 2, Q3 (4 marks): You are given that y 4 x sin 8 x . = + d . y (a) Find x [2] d d = y (b) Find the smallest positive value of x for which x 0 , giving your answer in an exact for
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