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State, understand and apply the definition of derivative. Apply and interpret derivatives geometrically and numerically.
Examples
Example: Find
. What does the result tell you? Use the limit to determine the derivative function for 
.
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))
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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
Chain Rule Example Using Visual Information:
In this video we will analyze the graph of a function and its tangent line, then use the chain rule to find the value of the derivative at that point.
Type: Tutorial
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