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Differentiation: CAIE IGCSE Maths questions

Every CAIE IGCSE Maths exam question on 2.12 Differentiation, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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228 questions

  1. Q8

    June 2024 · Paper 4

    The whole paper ↗
    June 2024 Paper 4, question 8: (a) On the axes, sketch the graph of y x 2 7 x 18 . = + - On your sketch, write the values where the graph meets the x-axis and the y-axis. y O x [4] (b) (i) Fi
  2. Q18

    June 2024 (0980) · Paper 2

    The whole paper ↗
    June 2024 (0980) Paper 2, question 18: y 18 16 14 12 10 8 6 4 2 0 x 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 The graph of y f ( ) x is drawn on the grid. = (a) Draw the tangent to the graph at the point x = . 3
  3. Q11

    June 2024 (0980) · Paper 4

    The whole paper ↗
    June 2024 (0980) Paper 4, question 11: (a) The point ( - , 6) lies on a curve. 1 d y This curve has the derived function x 4 x 3 9 x 2 + . 5 =- - d Show that ( - , 6) is a stationary point of the cur
  4. Q26

    Specimen · Paper 2

    The whole paper ↗
    Specimen Paper 2, question 26: y 24 x – 3 0 4 – 18 f(x) = x(x + 2)(x – 3) (a) On the diagram, sketch the graph of y = f(x) for –3 ⩽ x ⩽ 4 . Show the values of the intersections with the axes.
  5. Q20

    Specimen · Paper 4

    The whole paper ↗
    Specimen Paper 4, question 20: d y = 18xk–1 + 21x6 20 y = 2xk + ux7 and d x Find the value of k and the value of u. k = u = [2]
All 5 questions on Differentiation, as a list
  1. June 2024, Paper 4, Q8 (15 marks): (a) On the axes, sketch the graph of y x 2 7 x 18 . = + - On your sketch, write the values where the graph meets the x-axis and the y-axis. y O x [4] (b) (i) Fi
  2. June 2024 (0980), Paper 2, Q18 (3 marks): y 18 16 14 12 10 8 6 4 2 0 x 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 The graph of y f ( ) x is drawn on the grid. = (a) Draw the tangent to the graph at the point x = . 3
  3. June 2024 (0980), Paper 4, Q11 (7 marks): (a) The point ( - , 6) lies on a curve. 1 d y This curve has the derived function x 4 x 3 9 x 2 + . 5 =- - d Show that ( - , 6) is a stationary point of the cur
  4. Specimen, Paper 2, Q26 (11 marks): y 24 x – 3 0 4 – 18 f(x) = x(x + 2)(x – 3) (a) On the diagram, sketch the graph of y = f(x) for –3 ⩽ x ⩽ 4 . Show the values of the intersections with the axes.
  5. Specimen, Paper 4, Q20 (2 marks): d y = 18xk–1 + 21x6 20 y = 2xk + ux7 and d x Find the value of k and the value of u. k = u = [2]

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