Stationary Points & Turning Points (AQA A-Level Mathematics): Flashcards

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Stationary Points & Turning Points
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Condition for stationary point

f′(x)=0f'(x) = 0

Gradient at stationary point

Zero

Three types of stationary points

Local max, local min, saddle point

Turning point definition

Stationary point where function changes direction

If f′′(x)>0f''(x) > 0 at stationary point

Local minimum

If f′′(x)<0f''(x) < 0 at stationary point

Local maximum

If f′′(x)=0f''(x) = 0 at stationary point

Test is inconclusive

If f′(x)f'(x) changes + to - at stat. point

Local maximum

If f′(x)f'(x) changes - to + at stat. point

Local minimum

If f′(x)f'(x) same sign through stat. point

Saddle point (point of inflection)

Explore AQA A-Level Mathematics Revision Notes by Topics

Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

Explore AQA A-Level Mathematics Model Answers by Topics

Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

Explore AQA A-Level Mathematics Quizzes by Topics

Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

Explore AQA A-Level Mathematics Exam Questions by Topics

Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

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