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Integrating Trigonometric and Exponential Functions

Integrating Trigonometric and Exponential Functions

The power rule is of no use when it comes to antidiffernetiation. In these circumstances, you need to know special rules and procedures in order to evaluate the interval of a definite or indefinite integral.
integrating trig and exp funcsbrought to you by Livescribe

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Evaluating Basic Integrals

Evaluating Basic Integrals

In this pencast I evaluate several basic integrals, usually using the antiderivative power rule.
evaluating basic integralsbrought to you by Livescribe

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Basic Integrals

Basic Integrals

In this pencast I go over some very simple integration examples, particularly using the antiderivative power rule.
basic integralsbrought to you by Livescribe

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Applications of Derivatives

Applications of Derivatives

You’ve probably spent a great deal of time figuring out how to find the derivative of a function. In this pencast, I discuss a useful, common application of derivatives. Physics is a field that is continuously applying the concept of a derivative. In this particular example I discuss the motion of a [...]

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Limits of Radical Functions Pt. 2

Limits of Radical Functions Pt. 2

In this pencast I provide additional examples of finding the limit of a radical function, and in particular, using the conjugate method.
more radical limitsbrought to you by Livescribe

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Limits of Radical Functions Pt. 1

Limits of Radical Functions Pt. 1

Radical functions are difficult to account for in an algebraic expression. They especially pose problems when you are trying to find limits. In this pencast I discuss how to account for them by multiplying by their conjugates.
radical limitsbrought to you by Livescribe

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More Limits

More Limits

Additional examples of evaluating the limit of a function.
more limitsbrought to you by Livescribe

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Chain Rule Examples 2

Chain Rule Examples 2

In this pencast continue the work of a previous pencast by providing a few examples of using the chain rule.
chain rule examples 2brought to you by Livescribe

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Chain Rule Examples 1

Chain Rule Examples 1

In this pencast I use the chain rule to find the derivative of several equations.
chain rule examples 1brought to you by Livescribe

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Parametric Piecewise Functions

Parametric Piecewise Functions

In a recent pencast, I discuss the utility of piecewise functions. In this one I discuss how to manipulate a function by using parameters — variables that I can pick to make a function behave in a particular, useful way.
parametric piecewise functionbrought to you by Livescribe

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Piecewise Limits

Piecewise Limits

You may wonder what piecewise functions are all about. Why are they useful? In this pencast I answer these questions and find the limit of a piecewise function.
piecwise limitsbrought to you by Livescribe

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Trigonometric Limits

Trigonometric Limits

You may think you have the topic of limits covered… But can you handle trigonometric limits? In this pencast I find the limit of a trigonometric function. You may think that they are periodic, and therefore don’t have any limit value? Not necessarily…
trigonometric limitsbrought to you by Livescribe

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Finding Limits Involving Radicals Part 2

Finding Limits Involving Radicals Part 2

In this pencast I continue my discussion of finding the limit of a function that includes radicals. I also discussion a realistic example of the subject.
radical limits pt.2brought to you by Livescribe

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Finding Limits Involving Radicals Part 1

Finding Limits Involving Radicals Part 1

Complex numbers making finding limits more difficult. The conjugate method is an effective way to make radical expressions easier to deal with. I also deal with an example to make the subject more clear.
radical limits pt.1brought to you by Livescribe

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Finding Difficult Limits

Finding Difficult Limits

Limits are a subject that can easily confuse a student. In this pencast I solve a problem involving a particularly difficult limit equation
find difficult limitbrought to you by Livescribe

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Find Solutions to Sine Functions

Find Solutions to Sine Functions

In this problem I find the derivative of more complicated trigonometric functions and use this information to solve a unique problem.
find solns sine funcbrought to you by Livescribe

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Parameters and Tangent Lines

Parameters and Tangent Lines

In this problem I introduce the concept of a parameter within a function. Technically, a parameter is a variable, but for some purposes they work as an input “switch” or control value.
parameters and tan linesbrought to you by Livescribe

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Trigonometric Composite Functions

Trigonometric Composite Functions

Composite functions can be difficult to understand. Things get more complex when you throw trigonometric functions into the equation-situation (ha.) In this pencast I find the derivative of such a function.
trig composite funcbrought to you by Livescribe

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Chain Rule Derivation

Chain Rule Derivation

The chain rule and power rule outline two different methods to accomplish the same goal: derivation. In this problem I use both methods to solve a problem and discuss the usefulness of each.
chain rule derivationbrought to you by Livescribe

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Driving with Derivatives

Driving with Derivatives

Driving, position, velocity and acceleration are all related topics. In this pencast I relate these concepts to each other, providing a unique physical example of the concept of a second derivative.
derivatives and drivingbrought to you by Livescribe

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Find a Function with Asymptotes

Find a Function with Asymptotes

In this pencast I find a function that satisfies a particular condition — the function should have a vertical asymptote at x=1 and a horizontal asymptote at y=2.
find func w assymtsbrought to you by Livescribe

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Find Extrema and Classify Function

Find Extrema and Classify Function

In this problem, I use derivatives to find the local maximums and minimums of a function and determine the intervals on which the function is concave up or concave down.
find extrema classifybrought to you by Livescribe

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Finding Inflection Points

Finding Inflection Points

Trigonometric functions have plenty of inflection points, local maximums and local minimums. Why? Because they’re periodic — they repeat. Selecting a particular interval gives you the opportunity to find a limited number of inflection points.
inflection pts over intbrought to you by Livescribe

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Cylinder Linear Approximation

Cylinder Linear Approximation

Linear approximations aren’t very intuitive when you’re only looking at symbols on a page. In this problem, I make it easier to understand how and why linear approximations are useful, and make it easier to digest by using a physical example — a cylinder.
cylinder lin approxbrought to you by Livescribe

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Best Dimensions of a Box

Best Dimensions of a Box

Have you ever wanted to pack as much stuff into a package you were going to mail, but were limited by a certain size? I find the dimensions that provide the largest box size, given constraints on the length, width and height of a box.
box size optimizationbrought to you by Livescribe

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