Mathematics A-Level
Second derivative and concavity
What Second derivative and concavity means in Mathematics A-Level, as defined for AQA.
Definition of Second derivative and concavity
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Reference: AQA
The derivative of f'(x), measuring how the gradient changes; where f'' > 0 the curve is convex, where f'' < 0 it is concave, and a point of inflection occurs where the concavity changes.
Topics that use Second derivative and concavity
- G: Differentiation (AQA A-Level)
Related terms
- Chain rule
- Derivative
- Differential equation
- Gradients and rates of change
- Graphical interpretation of derivatives
- Implicit differentiation
- Isolating dy/dx
- Limits and first principles
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