TY  - BOOK
AU  - Geveci,Tunc
TI  - Introductory calculus: maxima, minima, and special functions 
SN  - 9781606508541
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  - Maxima and minima
KW  - Functions, Special
KW  - Libros electronicos
N1  - Co-published with Cognella Academic Publishing; Includes index; 1. Increasing and decreasing functions and extrema -- Some terminology -- The derivative test for monotonicity and extrema -- The proof of Fermat's theorem --; 2. Understanding the mean value theorem -- Rolle's theorem and the mean value theorem --; 3. Determining concavity and extrema -- The second derivative and extrema -- The proof of the second derivative test for local extrema --; 4. Drawing the graph of a function --; 5. Using maxima and minima in real applications -- Optimization -- Applications to economics --; 6. The importance of inverse functions -- Inverse trigonometric functions --; 7. Using the derivative of an inverse function -- The general expression -- The derivatives of inverse trigonometric functions -- The proof of theorem 1 (optional) --; 8. Applying the natural exponential function and the natural logarithm -- The natural logarithm --; 9. Exponential functions with arbitrary bases -- Logarithmic functions with arbitrary bases -- Arbitrary powers of x --; 10. Orders of magnitude in exponential functions -- Logarithmic growth -- The natural exponential function as a limit of polynomials --; 11. Using exponential functions in growth and decay rates -- The solution of the differential equation y = ky -- Compound interest --; 12. Introduction to hyperbolic and inverse -- Hyperbolic functions -- Inverse hyperbolic functions --; 13. Using L'Hopital's rule for indeterminate forms -- The indeterminate form 0/0 -- The indeterminate form [infinity] / [infinity] -- The indeterminate form 0 / [infinity] -- The indeterminate forms 1[infinity], [infinity]0 and 00 -- The indeterminate form [infinity] - [infinity] --; Index; Restricted to libraries which purchase an unrestricted PDF download via an IP
UR  - https://ebookcentral.proquest.com/lib/bacm-ebooks/detail.action?docID=4389019
ER  -