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Unit 3
· Topic 3
Topic 3: Further applications of differentiation
The second derivative and applications of differentiation
10 hours
Understand the concept of the second derivative as the rate of change of the first derivative function.
Recognise acceleration as the second derivative of displacement position with respect to time.
Understand the concepts of concavity and points of inflection and their relationship with the second derivative.
1 interactive
Understand and use the second derivative test for finding local maxima and minima.
1 interactive
Sketch the graph of a function using first and second derivatives to locate stationary points and points of inflection.
Model and solve optimisation problems from a wide variety of fields using first and second derivatives, where the function to be optimised is either given or to be developed.