• #### Instantaneous Velocity - Problem 1

##### Math›Calculus›The Derivative
How to estimate the instantaneous velocity of an object from a graph of position vs. time by computing slopes of secant lines over shorter and shorter intervals of time.
• #### Computing Difference Quotients - Concept

##### Math›Precalculus›Equations of Lines, Parabolas and Circles
How to compute and simplify the difference quotient of a linear function.
• #### The Definition of the Derivative - Concept

##### Math›Calculus›The Derivative
How to define the derivative of a function at a point x=a.
• #### Computing Difference Quotients - Concept

##### Math›Precalculus›Introduction to Functions
How to compute and simplify the difference quotient of a linear function.
• #### Average Velocity - Problem 2

##### Math›Calculus›The Derivative
How to compute the average velocity of an object moving in one dimension from a graph of its position vs. time.
• #### Economics: Cost & Revenue - Problem 3

##### Math›Calculus›Applications of the Derivative
How to estimate the instantaneous velocity of an object from a graph of position vs. time by computing slopes of secant lines over shorter and shorter intervals of time.
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• #### Average Velocity - Problem 1

##### Math›Calculus›The Derivative
How to compute the average velocity of an object moving in one dimension and how to represent average velocity on a graph.
• #### Average Velocity - Problem 3

##### Math›Calculus›The Derivative
How to determine intervals of time when the average velocity is negative or positive, and how to determine whether average velocity over one interval of time is greater than average velocity over another.
• #### Average Rate of Change - Problem 1

##### Math›Calculus›The Derivative
How to compute the average rate of change of the amount of liquid in a tank over an interval of time, and how to represent this average rate on a graph.