more average value 14 videos
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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.
average rate of change instantaneous rate of change change in quantity change in time limits -
Intervals of Increase and Decrease
Calculus Applications of the Derivative
How to estimate a limit using a table of values.
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An Important Limit
Calculus The Derivative
How to interpret the value of a limit important in the derivative of exponential functions.
limits natural logarithm numerical approximation -
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.
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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.
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One-Sided Limits
Calculus Limits and Continuity
How to use one-sided limits to show that a limit does not exist.
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Infinite Limits; Vertical Asymptotes
Calculus Limits and Continuity
How to use one-sided limits to find a vertical asymptote.
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