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# Calculus I Course Content, Higher order derivatives and graphs, Higher order derivatives and graphs modules

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## 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:
Provider:
Ohio Open Ed Collaborative
06/28/2019
Creative Commons Attribution Non-Commercial Language:
English
Media Format:
eBook, Interactive