CAIE IGCSE Mathematics Extended E2.12.1 Estimate Gradients Using Tangents Questions

Practise Extended CAIE IGCSE Mathematics by drawing tangents, calculating approximate gradients and interpreting their meaning.

Exam points

Estimate the gradient of a curve at a point by drawing a suitable tangent.
Use the scale and coordinates of a tangent to calculate an approximate gradient.
Interpret the sign and magnitude of an estimated gradient in context.

[Maximum number: 3]

The table shows some values for $y=x^{3}+4 x^{2}-4$ .

Table for Question CAIE IGCSE Mathematics Extended E2.12.1 Estimate Gradients Using Tangents Questions question 1 — CAIE IGCSE Mathematics Extended

(a)

Draw the tangent to the graph at the point (1,1).

[ 1 ]

(b)

Use your tangent to estimate the gradient of the curve at the point (1,1).

[ 2 ]

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