Skip to content

Differentiation: CAIE A‑Level Maths questions

Every CAIE A-Level Maths exam question on 1.7 Differentiation, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

Find questions100

100 questions

  1. Q4

    June 2024 · Paper 1

    The whole paper ↗
    June 2024 Paper 1, question 4: The equation of a curve is y f ( ) x , where ( ) f x ( 2 x 1 ) 3 x 2 - . The following points lie on the 2 = = - - curve. Non-exact values have been given corre
  2. Q11

    June 2024 · Paper 1

    The whole paper ↗
    June 2024 Paper 1, question 11: y O x 4 3 A function is defined by f x ( ) = - + 2 for x ! 0 . The graph of y = f ( ) x is shown in the diagram. x 3 x (a) Find the set of values of x for which
  3. Q1

    Specimen · Paper 1

    The whole paper ↗
    Specimen Paper 1, question 1: The following points A(0, 1), B(1, 6), C(1.5, 7.75), D(1.9, 8.79) and E(2, 9) lie on the curve y = f(x). The table below shows the gradients of the chords AE an
  4. Q8

    Specimen · Paper 1

    The whole paper ↗
    Specimen Paper 1, question 8: 8 A curve has equation y = . 3 − 2 x d y . (a) Find d [2] x A point moves along this curve. As the point passes through A, the x-coordinate is increasing at a r
  5. Q12

    Specimen · Paper 1

    The whole paper ↗
    Specimen Paper 1, question 12: y 2 y x x – 2) O x b a The diagram shows the curve with equation y = x(x – 2)2. The minimum point on the curve has coordinates (a, 0) and the x-coordinate of th
All 5 questions on Differentiation, as a list
  1. June 2024, Paper 1, Q4 (3 marks): The equation of a curve is y f ( ) x , where ( ) f x ( 2 x 1 ) 3 x 2 - . The following points lie on the 2 = = - - curve. Non-exact values have been given corre
  2. June 2024, Paper 1, Q11 (13 marks): y O x 4 3 A function is defined by f x ( ) = - + 2 for x ! 0 . The graph of y = f ( ) x is shown in the diagram. x 3 x (a) Find the set of values of x for which
  3. Specimen, Paper 1, Q1 (3 marks): The following points A(0, 1), B(1, 6), C(1.5, 7.75), D(1.9, 8.79) and E(2, 9) lie on the curve y = f(x). The table below shows the gradients of the chords AE an
  4. Specimen, Paper 1, Q8 (6 marks): 8 A curve has equation y = . 3 − 2 x d y . (a) Find d [2] x A point moves along this curve. As the point passes through A, the x-coordinate is increasing at a r
  5. Specimen, Paper 1, Q12 (13 marks): y 2 y x x – 2) O x b a The diagram shows the curve with equation y = x(x – 2)2. The minimum point on the curve has coordinates (a, 0) and the x-coordinate of th

Questions, mark schemes and examiner’s reports are © Cambridge University Press & Assessment, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Every CAIE A-Level Maths paper.

Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.