Applications of Derivatives Table of Contents by Standard
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The standards covered in this section are as follows. To view the complete standards document, click here.
AD.1: Find the slope of a curve at a point.
AD.2: Find a tangent line to a curve at a point and a local linear approximation.
AD.3: Decide where functions are decreasing and increasing.
AD.4: Solve real-world and other mathematical problems involving extrema.
AD.5: Analyze real-world problems modeled by curves.
AD.6: Find points of inflection of functions.
AD.7: Use first and second derivatives to help sketch graphs.
AD.8: Compare the corresponding characteristics of the graphs of f, f', and f".
AD.9: Solve optimization real-world problems with and without technology.
AD.10: Find average and instantaneous rates of change.
AD.11: Find the velocity and acceleration of a particle moving in a straight line.
AD.12: Model rates of change, including related rates problems.
AD.13: Interpret a derivative as a rate of change in applications.
