IB Maths AI AHL 5.10 second derivative notes explaining concavity, stationary points, inflection points and the second derivative test. These clear, structured notes support IB Higher Level calculus and exam-ready mathematical reasoning.
Students learn how to calculate a second derivative, solve f’(x) = 0 to find stationary points, and use the value of f’’(x) to classify local maxima and minima. The notes also develop understanding of concavity, inflection points and cases where the second derivative test is inconclusive.
Use these notes for teaching, guided examples, independent study or revision of the second derivative and its role in analysing functions.
Complete the 5.10 set with the IB Maths AI AHL 5.10 The Second Derivative slides and the IB Maths AI AHL 5.10 The Second Derivative worksheet.
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