This IB Maths AI HL / AHL 5.10 – The Second Derivative (Student Notes & Worksheet) resource develops a deep understanding of concavity, inflection points, and the second derivative test — essential Higher Level calculus skills. Students learn how the second derivative measures the rate of change of the gradient and how its sign determines whether a graph is concave up or concave down .
The worksheet builds exam-ready fluency through:
- Applying the second derivative test to classify local maxima and minima
- Identifying when the test is inconclusive
- Finding and interpreting inflection points
- Determining intervals of concavity
- Solving HL-style parameter questions involving stationary points
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£3.00