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Interpret the derivative as an instantaneous rate of change or as the slope of the tangent line.
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Calculus
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.
Related Resources
Vetted resources educators can use to teach the concepts and skills in this benchmark.
Tutorials
Student Resources
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Tutorials
Calculus: Derivatives 1:
In this video we will learn through an example, that a derivative is simply the slope of a curve at any given point.
Type: Tutorial
Calculating Slope of Tangent Line Using Derivative Definition:
In this video we will find the slope of the tangent line using the formal definition of derivative.
Type: Tutorial
Derivative as Slope of a Tangent Line:
We will find the derivative of a function by finding the slope of the tangent line.
Type: Tutorial
Mean Value Theorem:
In this video we will take an in depth look at the Mean Value Theorem.
Type: Tutorial
The Derivative of f(x)=x^2 for Any x:
In this video we will find the derivative of a function based on the slope of the tangent line.
Type: Tutorial
Parent Resources
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