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CAIE IGCSE Mathematics Differentiation Questions

Practise differentiating polynomial functions, finding and classifying stationary points and forming tangent equations from derivative gradients.

Exam points

differentiate each ax^n term as anx^(n−1) and simplify the derived function
solve dy/dx = 0 and substitute each x-value into the original curve for stationary coordinates
classify stationary points or use the derivative gradient with a point to form a tangent equation

[Maximum number: 3]

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

Table for Question E2.12.1 Estimate gradients using tangents 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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