Section 10.1
Limits and Motion: The Tangent Problem
Average vs. instantaneous velocity; secant lines and tangent lines; the limit definition of the derivative.
13 lessons. Pick what you need.
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Chapter 10 · An Introduction to Calculus: Limits, Derivatives, and Integrals
Lesson
Lesson Introducing Where Calculus Starts
Examples
Examples of Finding the Average Rate of Change for a Function
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Examples of Finding the Slope at a Point and the Tangent Line at a Point Using The Difference Quotient
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Lesson Introducing Limits and Evaluating Basic Limits
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Examples of Algebraic Tricks for Limits when Getting 0/0
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Lesson Introducing the Limit Definition of the Derivative
Examples
Examples of Using the Limit Definition of a Derivative to Find Tangent Lines
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Examples of Using the Alternative Formula for the Derivative
Examples
Examples Comparing The Definition of the Derivative versus The Alternative Formula
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Examples of The Limit Definition of the Derivative with a Square Root in the Denominator
Lesson