Introductory calculus : understanding the derivative / Tunc Geveci.

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Bibliographic Details
Main Author: Geveci, Tunc (Author)
Format: eBook
Language:English
Published: New York [New York] (222 East 46th Street, New York, NY 10017) : Momentum Press, 2015.
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Online Access:Click for online access

MARC

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049 |a HCDD 
100 1 |a Geveci, Tunc.,  |e author. 
245 1 0 |a Introductory calculus :  |b understanding the derivative /  |c Tunc Geveci. 
264 1 |a New York [New York] (222 East 46th Street, New York, NY 10017) :  |b Momentum Press,  |c 2015. 
300 |a 1 online resource (136 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
500 |a Co-published with Cognella Academic Publishing. 
500 |a Includes index. 
505 0 |a 1. The foundation of the derivative -- The derivative of a function at a point -- The derivative as a function -- The Leibniz notation 
505 8 |a 2. Using the derivative for powers and linear combinations -- The derivatives of rational powers of x -- The derivatives of linear combinations -- Higher-order derivatives -- The proof of the power rule for arbitrary rational powers 
505 8 |a 3. Using the derivatives of sine and cosine -- The derivatives of sine and cosine at 0 -- The derivative functions corresponding to sine and cosine 
505 8 |a 4. Using the derivative in velocity and acceleration 
505 8 |a 5. Local linear approximations -- The differential -- The traditional notation for the differential -- The accuracy of local linear approximations 
505 8 |a 6. Understanding the product and quotient rules -- The quotient rule 
505 8 |a 7. Applying the chain rule -- A plausibility argument for the chain rule -- The chain rule in the Leibniz notation -- The chain rule for more than two functions -- The proof of the chain rule 
505 8 |a 8. The problems of related rates 
505 8 |a 9. The intermediate value theorem -- Newton's method 
505 8 |a 10. Using implicit differentiation 
500 |a Title from PDF title page (viewed on December 9, 2015). 
520 8 |a Annotation  |b With a "less is more" approach to introducing the reader to the fundamental concepts and uses of Calculus, this sequence of four books covers the usual topics of the first semester of calculus, including limits, continuity, the derivative, the integral and important special functions such exponential functions, logarithms, and inverse trigonometric functions. 
650 0 |a Calculus. 
650 0 |a Derivatives (Mathematics) 
650 7 |a calculus.  |2 aat 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Calculus  |2 fast 
650 7 |a Derivatives (Mathematics)  |2 fast 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=4389020  |y Click for online access 
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