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Use first and second derivatives to help sketch graphs. Compare the corresponding characteristics of the graphs of f, f', and f".
Remarks
Example: Use information from the first and second derivatives to sketch the graph of
.
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Calculus
Cluster: Level 3: Strategic Thinking & Complex Reasoning
Cluster: Applications of Derivatives - 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.
Date Adopted or Revised: 02/14
Content Complexity Rating:
Level 3: Strategic Thinking & Complex Reasoning
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More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Related Courses
This benchmark is part of these courses.
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
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Alternate version of this benchmark for students with significant cognitive disabilities.
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Tutorials
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Tutorials
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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