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Sketch graphs by using first and second derivatives. Compare the corresponding characteristics of the graphs of f, f' and f".
Examples
Example: Sketch the graph of f(x)=x4+3x2-2x+1 using information from the first and second derivatives.General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Calculus
Standard: Apply derivatives to solve problems.
Date Adopted or Revised: 08/20
Status: State Board Approved
Related Courses
This benchmark is part of these courses.
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))
Related Access Points
Alternate version of this benchmark for students with significant cognitive disabilities.
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Tutorial
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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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