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Average Value of a Function
Calculus The Definite Integral
How to find the average value of a function over an interval [a,b].
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Average Velocity
Calculus The Derivative
How to compute the average velocity of an object moving in one dimension.
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Average Rate of Change
Calculus The Derivative
How to compute the average rate of change of a population over an interval of time.
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Limits: A Numerical Approach
Calculus Limits and Continuity
How to estimate a limit using a table of values.
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Instantaneous Velocity
Calculus The Derivative
How to estimate the instantaneous velocity of an object at t=2 by computing average velocities over shorter and shorter intervals of time.
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Instantaneous Rate of Change
Calculus The Derivative
How to estimate the instantaneous rate liquid is pouring out of a container at t=4 by computing average rates of change over shorter and shorter intervals of time.
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Intervals of Increase and Decrease
Calculus Applications of the Derivative
How to estimate a limit using a table of values.

An Important Limit
Calculus The Derivative
How to interpret the value of a limit important in the derivative of exponential functions.
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Optimization Using the Second Derivative Test
Calculus Applications of the Derivative
How to compute the average velocity of an object moving in one dimension from a graph of its position vs. time.

The Definition of the Derivative
Calculus The Derivative
How to define the derivative of a function at a point x=a.
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Optimization Problems: Applications to Economics
Calculus Applications of the Derivative
How to use the optimization methods of calculus to optimize cost or revenue.
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Economics: Cost & Revenue
Calculus Applications of the Derivative
How to compute the average rate of change of the amount of a drug in a patient's bloodstream over an interval of time, and how to interpret whether the amount is increasing or decreasing over time.

OneSided Limits
Calculus Limits and Continuity
How to use onesided limits to show that a limit does not exist.
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Infinite Limits; Vertical Asymptotes
Calculus Limits and Continuity
How to use onesided limits to find a vertical asymptote.
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