instantaneous rate of change 9 videos

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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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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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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Definite Integrals As Net Change
Calculus The Definite Integral
How to use the fundamental theorem of calculus to compute the net change of a quantity.
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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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Average Velocity
Calculus The Derivative
How to compute the average velocity of an object moving in one dimension.
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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.

The Method of Substitution
Calculus Antiderivatives and Differential Equations
How to evaluate an indefinite integral using the method of substitution.
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Simple Substitutions
Calculus Antiderivatives and Differential Equations
How to use the method of substitution to avoid common integration mistakes.
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