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Category Archives: College Algebra
space shuttle differentiation
This pencast includes another practical example of the usefulness of calculus. This particular problem involves a camera that is tracking the ascent of the space shuttle, and introduces trigonometric differentiation. space shuttle differentiation brought to you by Livescribe
Posted in Calculus, Pencast, Trigonometry
Tagged differential calculus, Pencast, trigonometric functions
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log, inv. tan. differntiation
In this pencast, I review logarithmic function differentiation, and introduce methods to differentiate inverse-tangent functions. log, inv. tan. differntiationbrought to you by Livescribe
Posted in Calculus, Pencast, Trigonometry
Tagged differential calculus, inverse trigonometric functions, Pencast
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logarithmic differentiation pt.2
In previous pencasts, I explore the usefulness of logarithmic differentiation. What if you come across an equation that not only involves logarithms, but trigonometric functions? In this pencast, I go over ways to solve these kinds of problems. logarithmic differentiation … Continue reading
advanced logarithmic differentiation
Logarithmic differentiation isn’t only useful for problems involving population growth, or other scientific-related topics. Sometimes the method can be used as a special trick to solve problems that don’t necessarily involve logarithms. advanced logarithmic differentiationbrought to you by Livescribe
logarithmic differentiation pt.1
In this pencast, I explore some of the uses of logarithmic differentiation. These techniques are particularly applicable to chemistry, as these techniques help us understand how chemical reactions work! logarithmic differentiation pt.1brought to you by Livescribe
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
Posted in Calculus, Complex Numbers, Pencast
Tagged differential calculus, limits, radical functions
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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 … Continue reading
Posted in Calculus, Complex Numbers, Pencast
Tagged differential calculus, limits, Pencast
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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 … Continue reading
Posted in Calculus, Pencast, Trigonometry
Tagged differential calculus, limits, trigonometric functions
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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
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 … Continue reading
Posted in Complex Numbers, Pencast
Tagged complex numbers, conjugates, irrational numbers, limits, radicals
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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
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
Posted in Calculus, Pencast, Trigonometry, Uncategorized
Tagged differential calculus, trigonometric function
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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
Posted in Pencast, Trigonometry
Tagged derivation, differential calculus, trigonometric function
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Chain Rule Differentiation
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 derivation brought to you by … Continue reading
