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Apply knowledge about derivatives to find slopes of curves and the related tangent lines. Analyze and graph functions, finding where they are increasing or decreasing, their maximum and minimum points, their points of inflection, and their concavity. Solve optimization problems, find average and instantaneous rates of change (including velocities and accelerations), and model rates of change. Find slopes and equations of tangent lines, maximum and minimum points, and points of inflection. Solve optimization problems, and find rates of change.
General Information
Number: MAFS.912.C.3
Title: Applications of Derivatives
Type:
Cluster
Subject: Mathematics - Archived
Grade: 912
Domain-Subdomain: Calculus
Related Standards
This cluster includes the following benchmarks.
Related Access Points
This cluster includes the following access points.
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Tutorials
Student Resources
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Tutorials
Absolute and Relative Minima and Maxima:
You will learn how to find the absolute and relative minima and maxima of functions.
Type: Tutorial
Identifying relative minimum and maximum values:
You will learn how to identify relative minimum and maximum values of functions.
Type: Tutorial
Concavity, concave upwards and concave downwards intervals:
You will learn how to find concavity, concave upwards and concave downwards intervals of functions, and how this relates to the second derivative of a function.
Type: Tutorial
Inflection points of functions:
How to find inflection points of functions graphically and using the second derivaive.
Type: Tutorial
Graphing with Derivatives:
You will learn how to use the first and second derivatives to identify critical points and inflection points and to graph a logarithm function.
Type: Tutorial
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