Applications of Derivatives: Curve Sketching
Students use first and second derivatives to analyze function behavior, including increasing/decreasing intervals, concavity, and inflection points.
Key Questions
- Analyze how the sign of the first derivative indicates the direction of a function's graph.
- Evaluate the significance of inflection points in understanding a function's concavity.
- Design a function that exhibits specific increasing, decreasing, and concavity characteristics.
ACARA Content Descriptions
Suggested Methodologies
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