Learning Objective 2.2A

Learning Objective 2.2A Students will be able to use derivatives to analyze properties of a function.

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Essential Knowledge 2.2A1 Students will know that first and second derivatives of a function can provide information about the function and its graph including intervals of increase or decrease, local (relative) and global (absolute) extrema, intervals of upward or downward concavity, and points of inflection.

Essential Knowledge 2.2A2 Students will know that key features of functions and their derivatives can be identified and related to their graphical, numerical, and analytical representations.

Essential Knowledge 2.2A3 Students will know that key features of the graphs of f, f ', and f '' are related to one another.