interval 12 videos
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Intervals of Increase and Decrease
Calculus Applications of the Derivative
How to estimate a limit using a table of values.
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Optimization Using the Closed Interval Method
Calculus Applications of the Derivative
How to evaluate the limit of a function at points where it is not continuous.
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Deriving the Quadratic Formula
Algebra 2 Quadratic Equations and Inequalities
How to derive the quadratic formula by completing the square.
functions domain parent functions inequalities interval notation -
Finding the Domain of a Function
Precalculus Introduction to Functions
How to find the domain of a function when it has rational or radical expressions.
functions domain parent functions inequalities interval notation -
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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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 -
Solving a Three-part Linear Inequality
Algebra 2 Linear Inequalities
How to solve a three part inequality.
interval notation inequality notation set builder notation three part inequality -
Solving a Three-part Linear Inequality
Precalculus Linear Equations and Inequalities
How to solve a three part inequality.
interval notation inequality notation set builder notation three part inequality -
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 -
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 -
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 -
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.