limits infinity 32 videos

Computing Definite Integrals using Substitution
Calculus The Definite Integral
How to evaluate definite integrals using the method of substitution.
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The First Derivative Test for Relative Maximum and Minimum
Calculus Applications of the Derivative
How to use an algebraic approach to find onesided limits of a rational function, and how these limits can be used to find a vertical asymptote.

Relative Maxima and Minima
Calculus Applications of the Derivative
How to use onesided limits to find a vertical asymptote.

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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Derivatives of Exponential Functions
Calculus The Derivative
How to use the definition of the derivative to find a derivative formula for exponential functions.
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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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Continuous Functions
Calculus Limits and Continuity
How to determine whether a function f(x) is continuous everywhere on its domain.
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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 Definition of the Derivative
Calculus The Derivative
How to define the derivative of a function at a point x=a.
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Derivatives of Logarithmic Functions
Calculus The Derivative
How to infer the derivative of the natural log function using a calculator investigation.
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Approximating Area Using Rectangles
Calculus The Definite Integral
How to approximate the area under a curve using rectangles.
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