## Description

- Overview:
- After completing this section, students should be able to do the following.Use the first derivative to determine whether a function is increasing or decreasing.Define higher order derivatives.Compare differing notations for higher order derivatives.Identify the relationships between the function and its first and second derivatives.Sketch a graph of the second derivative, given the original function.Sketch a graph of the original function, given the graph of its first or second derivative.Sketch a graph of a function satisfying certain constraints on its higher-order derivatives.State the relationship between concavity and the second derivative.Interpret the second derivative of a position function as acceleration.Calculate higher order derivatives.Given the graph of a position function, find time intervals where the velocity is positive/negativeGiven the graph of a position function, find time intervals where the velocity is increasing/decreasing

- Subject:
- Calculus
- Level:
- College / Upper Division
- Material Type:
- Module
- Author:
- Jim Fowler
- Provider:
- Ohio Open Ed Collaborative
- Date Added:
- 06/28/2019

- License:
- Creative Commons Attribution Non-Commercial
- Language:
- English
- Media Format:
- eBook, Interactive

## Standards

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