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Second Derivative

Calculus HOME | Achievement Objectives | Gradient | Gradient Functions | Differentiation | Gradient at a point | Find point with gradient | Equation of Tangent | Second Derivitive | Coordinates of Max & Min | Increasing, Decreasing Functions | Applications | Kinematics with differentiation | Antidifferentiation | Finding 'C' | Kinematics with anti-differentiation | Rates of Change | Mixed Problems | Revision


Second Derivative

Differentiate twice. Use the second derivative to identify features of graphs: where the graph is increasing, decreasing, points of inflection and stationary points.

Use calculus to find local maximum, local minimum, and points of inflection.

Finding the nature of Turning points

NOTE: determining the nature of turning points you can use any method: 1. The second derivative, 2. By inspection of the graph of the function or 3. By testing the value of the function on each side of the turning point)


Class Notes | Blank Notes

Graphs: Ex15.04,

NuLake IAS p82, 86, 87





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