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♾️AP Calculus AB/BC
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Table of Contents
Graphical Limits
Algebraic Limits
Helping Students Master Taking Derivatives Part I (for Teachers)
Limits @ Infinity and Horizontal Asymptotes
Continuity Part I
Polar Coordinates and Calculus (for BC teachers)
Continuity Part II
The Limit Definition of the Derivative
Introduction to Finding Derivatives
Helping Students Master Taking Derivatives Part II (for Teachers)
Practicing Derivative Rules
The Product and Quotient Rules
The Chain Rule
Interpreting Derivatives through Tables and in context
Interpreting Derivatives through Graphs and in context
Practicing Derivative Rules II
Implicit Derivatives
Related Rates
f, f', f''
Increasing and Decreasing Functions
Optimization Problems
Concavity
Fall Semester Review (2019)
Integration Techniques Part II
Position, Velocity & Acceleration
Using FTC and Integral Defined Functions
Presentation Slides, FTC and Integral Defined Functions
Q and A
Interpreting the Meaning of a Derivative/Integral
Q and A
Separable Differential Equations
Existence Theorems
L'Hospital's rule
Q&A Student Study Session
Glossary
Practice Quizzes
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♾️ap calculus ab/bc review

The Limit Definition of the Derivative

Verified for the 2025 AP Calculus AB/BC exam•Citation:

J

Jennifer Durost

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In this stream we talked about expanding our concept of "Rate of Change" from Average Rate of Change to Instantaneous Rate of Change (or slope of a function at a single point). We then used this idea to define the derivative using limits and practice finding derivatives using the limit definition of derivatives. A focus was made on being able to interpret the results.

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Practice QuizGlossary
Introduction to Finding Derivatives