net change theorem 10 videos

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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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 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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The Fundamental Theorem of Calculus
Calculus The Definite Integral
How to use the fundamental theorem of calculus to evaluate a definite integral.
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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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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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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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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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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.