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CAIE IGCSE Mathematics Extended E2.12.3 Gradients and Stationary Points Questions

Review CAIE IGCSE Mathematics gradients and stationary points through dy/dx=0, turning-point coordinates, tangent equations and gradient conditions.

Syllabus
2028–2030
Course
Mathematics 0580
Level
Extended

Exam points

  • Use derivatives to find gradients and stationary points by solving dy/dx=0, then determine coordinates, tangents and gradient conditions.

CAIE IGCSE Mathematics Extended E2.12.3 Gradients and Stationary Points Questions question 1

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Figure for Question CAIE IGCSE Mathematics Extended E2.12.3 Gradients and Stationary Points Questions question 1 — CAIE IGCSE Mathematics Extended
f(x)=x(x+2)(x−3)\mathrm{f}(x)=x(x+2)(x-3)

A is the point (1,-6).

The tangent to the graph of y=f(x) at A meets the y-axis at B.
Find the coordinates of B.
(

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