October 2007
Beginner
627 pages
15h 41m
English
book
Mastering Technical Mathematics, Third Edition, 3rd Edition
by Stan Gibilisco, Norman H. Crowhurst
Content preview from Mastering Technical Mathematics, Third Edition, 3rd Edition
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| 20 | Combining Calculus with Other Tools |
In this chapter, you’ll learn how calculus can be used along with other techniques to analyze functions, optimize areas and volumes, and evaluate the properties of curves that are sometimes called conic sections because they represent cross sections of extended double cones. These curves are the circle, the ellipse, the parabola, and the hyperbola.
LOCAL MAXIMUM AND MINIMUM
Derivatives can be used to find “peaks” and “valleys,” technically called local maxima and local minima, of a function that appears as a curve when graphed. When the derivative dy/dx of a curve is equal to 0 at a certain point, the value of the function is momentarily constant. If elsewhere it varies, the value identified by dy ...
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