The second derivative and applications of differentiation

Mathematical Methods · Unit 3 — Further calculus and introduction to statistics · Further applications of differentiation

Learning objectives (5)

LO-1Model 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.LO-2Sketch the graph of a function using first and second derivatives to locate stationary points and points of inflection.LO-3Understand and use the second derivative test for finding local maxima and minima.LO-4Understand the concept of the second derivative as the rate of change of the first derivative function.LO-5Understand the concepts of concavity and points of inflection and their relationship with the second derivative.

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