average 9 videos
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Average Velocity
Calculus The Derivative
How to compute the average velocity of an object moving in one dimension.
average velocity position height time change in position change in time -
Average Value of a Function
Calculus The Definite Integral
How to find the average value of a function over an interval [a,b].
average value antidifferentiation limits of integration functions area under a curve -
Average Rate of Change
Calculus The Derivative
How to compute the average rate of change of a population over an interval of time.
average rate of change population time change in population change in time population models rate of increase -
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.
average velocity instantaneous velocity change in position change in time limits -
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 -
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.
average rate of change slope secant line instantaneous rate of change tangent line limits derivative difference quotient -
Optimization Problems: Applications to Economics
Calculus Applications of the Derivative
How to use the optimization methods of calculus to optimize cost or revenue.
cost revenue average cost optimization methods closed interval method first derivative test second derivative test -
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.
