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# Calculus I Course Content, Linear approximation, Linear approximation module

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## Description

Overview:
After completing this section, students should be able to do the following.Define linear approximation as an application of the tangent to a curve.Find the linear approximation to a function at a point and use it to approximate the function value.Identify when a linear approximation can be used.Label a graph with the appropriate quantities used in linear approximation.Find the error of a linear approximation.Compute differentials.Use the second derivative to discuss whether the linear approximation over or underestimates the actual function value.Contrast the notation and meaning of dydy versus ΔyΔy.Understand that the error shrinks faster than the displacement in the input.Justify the chain rule via the composition of linear approximations.
Subject:
Calculus
Level:
Community College / Lower Division, College / Upper Division
Material Type:
Module
Author:
Provider:
Ohio Open Ed Collaborative
07/02/2019
Creative Commons Attribution Non-Commercial Language:
English
Media Format:
eBook, Interactive