TY  - BOOK
AU  - Geveci,Tunc
TI  - Introductory calculus: understanding the derivative 
SN  - 9781606508558
AV  - QA300 .G485 2015
U1  - 515 23
PY  - 2015///
CY  - New York [New York] (222 East 46th Street, New York, NY 10017)
PB  - Momentum Press
KW  - Calculus
KW  - Derivatives (Mathematics)
KW  - Calcul infinitésimal
KW  - Dérivées (Mathématiques)
KW  - calculus
KW  - aat
KW  - MATHEMATICS
KW  - bisacsh
KW  - Mathematical Analysis
KW  - fast
KW  - Electronic books
N1  - Co-published with Cognella Academic Publishing; Includes index; Title from PDF title page (viewed on December 9, 2015); 1. The foundation of the derivative -- The derivative of a function at a point -- The derivative as a function -- The Leibniz notation; 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; 3. Using the derivatives of sine and cosine -- The derivatives of sine and cosine at 0 -- The derivative functions corresponding to sine and cosine; 4. Using the derivative in velocity and acceleration; 5. Local linear approximations -- The differential -- The traditional notation for the differential -- The accuracy of local linear approximations; 6. Understanding the product and quotient rules -- The quotient rule; 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; 8. The problems of related rates; 9. The intermediate value theorem -- Newton's method; 10. Using implicit differentiation
N2  - Annotation; 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
UR  - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1164960
ER  -