CourseCourseConceptConceptDocsDocuments

Edexcel IGCSE Math B 4 M Rates of Change and Stationary Points Questions

Practise rates-of-change questions by differentiating or using graph gradients, then solving for stationary points or parameter values.

Syllabus
First assessment 2018
Course
Math B 4MB1

Exam points

  • Use differentiation or gradient reasoning to locate stationary points on a curve.
  • Solve derivative equations to find turning-point coordinates to the required accuracy.
  • Use maximum or minimum information to find unknown constants in a curve equation.

Edexcel IGCSE Math B 4 M Rates of Change and Stationary Points Questions question 1

[Maximum number: 4]
Figure for Question Edexcel IGCSE Math B 4 M Rates of Change and Stationary Points Questions question 1 — Edexcel IGCSE Math B
Figure for Question Edexcel IGCSE Math B 4 M Rates of Change and Stationary Points Questions question 1 — Edexcel IGCSE Math B

Diagrams NOT accurately drawn.

Figure 3 shows a rectangle with dimensions 20 cm by 10 cm from which a square with sides of length x cm is removed from each of the corners.
The shape in Figure 3 is then folded along the dotted lines to form a box, without a lid, in the shape of a cuboid, shown in Figure 4.
The volume of the box is V cm3V\,\mathrm{cm}^3.

Find, to 3 significant figures, the value of x such that dVdx=0\frac{dV}{dx}=0.

Solutions of ax2+bx+c=0 are x=−b±b2−4ac2a.\text{Solutions of } ax^2+bx+c=0 \text{ are } x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

All question bank results loaded