◈ Oracle PrepSign Up Free
O-LevelAdditional MathematicsDifferentiation and integration4037/22 · Oct/Nov 2013 · Q34 Marks

Given that y = (1/4 x - 5)⁸, find dy/dx

  1. (i)Given that y = (1/4 x - 5)⁸, find dy/dx[2]
  2. (ii)Hence find the approximate change in y as x increases from 12 to 12 + p, where p is small.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2013). The mark or mark type is shown in brackets.

  1. [M1] dy/dk = k⁷(1/4 x - 5)⁷
  2. [A1] k=2
  3. [M1] Use δy = dy/dx δx with x = 12 and δx = p ♫ on k needs both M marks
  4. [A1] -256p ♫ only for -128kp and must be evaluated

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

About this question

Topic
Differentiation and integration, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2013 Paper 2 Variant 2, question 3.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

Related Additional Mathematics questions

Differentiation and integrationMay/June 20108m

A particle starts from rest and moves in a straight line so that, t seconds after leaving a fixed point O, its veloci…

Differentiation and integrationMay/June 20103m

Find ∫ (2+5x - 1/(x-2)²) dx.

Differentiation and integrationMay/June 20104m

The volume V cm³ of a spherical ball of radius r cm is given by V = (4/3)πr³. Given that the radius is increasing at …

TrigonometryMay/June 20113m

Show that (1 / (1 - cosθ)) + (1 / (1 + cosθ)) = 2cosec²θ.

Logarithmic and exponential functionsMay/June 20113m

Express lga + 3lgb – 3 as a single logarithm.

Indices and surdsMay/June 20118m

Solve the equation 16^(3x-2) = 8^(2x).

← Browse all past-paper questions

© 2026 Oracle Prep