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A-LevelMathematicsDifferentiation9709/12 · Feb/Mar 2020 · Q44 Marks

A curve has equation y = x² – 2x – 3. A point is moving along the curve in such a way that at P the y-coordinate is increasing at 4 units per second and the x-coordinate is increasing at 6 units per second.

  1. Find the x-coordinate of P.[4]

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2020). The mark or mark type is shown in brackets.

  1. [B1] dy/dx = 2x - 2
  2. [B1] dy/dt = 4, dx/dt = 6 => dy/dx = 4/6 OE, SOI
  3. [M1] their (2x-2) = their 4/6 LHS and RHS must be their dy/dx expression and value
  4. [A1] x = 4/3 oe

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About this question

Topic
Differentiation, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Feb/Mar 2020 Paper 1 Variant 2, question 4.

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