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iGCSE (2021 Edition)

26.05 Stationary points (Extended)

Interactive practice questions

Which of the following describes a minimum turning point?

A point where the tangent is horizontal and the concavity changes from upwards to downwards or from downwards to upwards around the point.

A

A point where the curve changes from decreasing to increasing.

B

A point where the curve changes from increasing to decreasing.

C

A point where the tangent crosses the curve and the concavity changes from upwards to downwards or from downwards to upwards around the point.

D
Easy
< 1min

Which of the following describes a horizontal point of inflection?

Easy
< 1min

Which of the following describes a maximum turning point?

Easy
< 1min

Which of the following describes the rate of change of the function $f\left(x\right)=-8$f(x)=8?

Easy
< 1min
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Outcomes

0580E2.13B

Apply differentiation to gradients and turning points (stationary points). Discriminate between maxima and minima by any method.

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