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Edexcel IGCSE Math A 3.3.HD gradient of non-linear graphs

Practise curve-gradient questions by drawing a tangent at the stated point, choosing two clear points on it and calculating rise over run.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Higher

Exam points

  • Draw a tangent to the curve at the given point before estimating the gradient.
  • Calculate the tangent gradient from two clear points and show working on the graph.

3.3.HD The gradients of non-linear graphs By drawing a tangent question 1

[Maximum number: 3]

The diagram shows the graph of y=f(x) for −4⩽x⩽12-4 \leqslant x \leqslant 12

Figure for Question 3.3.HD The gradients of non-linear graphs By drawing a tangent question 1 — Edexcel IGCSE Math A Higher

The point P on the curve has x coordinate 2

Use the graph to find an estimate for the gradient of the curve at P.

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