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After Denim Dog, General Rule, and other experts wrap up the subjects of continuity and discontinuity, this program introduces the derivative. Practical examples of derivatives are provided, along with insights into the concepts of tangent lines and slopes. The Derivative Definition is explained as well, reinforced by plenty of sample problems. (31 minutes)



 
                

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Copyright date: ©1999




     


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Extrema and Max/Min Word Problems
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Behind every calculus problem, neatly packaged and ready to solve, is a word problem. But before coming to terms with word problems, this program examines local extrema and local maximums and minimums. Next, the first- and second-derivative tests for...(more details)
 
Functions and Limits
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What is calculus, anyway, and how is it used? Answers to these and other questions can be found in section one of this program, along with a concise review of graphing and functions. Section two posits the intuitive definition of limits and follows u...(more details)
 
Curve Sketching
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How does art figure into calculus? This program illustrates applications of the derivative through graphing. Ably assisted by the Voice of Common Sense, elements such as critical points, points of inflection, extreme values, increasing and decreasing...(more details)
 
Derivative Rules and Tangent Lines
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What does an unemployed hardware salesman know about calculus? The answer to that and other questions can be found in this program, which features rugged tools for reducing the complexity of working with derivatives, including the Power Rule, e Rule,...(more details)
 
One-Sided Limits and Limits Involving Infinity
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Are one-sided limits unfair? And how does infinity fit into the equation? This program provides the requisite rules and notations for working with left- and right-hand limits. Limits involving infinity are also described, highlighting the concepts of...(more details)
 


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