Introductory calculus : maxima, minima, and special functions [E-Book] / Tunc Geveci.
Saved in:
Full text |
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Personal Name(s): | Geveci, Tunc., author |
Imprint: |
New York, [New York] (222 East 46th Street, New York, NY 10017) :
Momentum Press,
2015
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Physical Description: |
1 online resource (216 pages) : illustrations. |
Note: |
englisch |
ISBN: |
9781606508541 |
Subject (LOC): |
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100 | 1 | |a Geveci, Tunc., |e author | |
245 | 1 | 0 | |a Introductory calculus : |b maxima, minima, and special functions |h [E-Book] / |c Tunc Geveci. |
264 | 1 | |a New York, [New York] (222 East 46th Street, New York, NY 10017) : |b Momentum Press, |c 2015 |e (ProQuest) | |
300 | |a 1 online resource (216 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 englisch | ||
505 | 0 | |a 1. Increasing and decreasing functions and extrema -- Some terminology -- The derivative test for monotonicity and extrema -- The proof of Fermat's theorem -- | |
505 | 8 | |a 10. Orders of magnitude in exponential functions -- Logarithmic growth -- The natural exponential function as a limit of polynomials -- | |
505 | 8 | |a 11. Using exponential functions in growth and decay rates -- The solution of the differential equation y = ky -- Compound interest -- | |
505 | 8 | |a 12. Introduction to hyperbolic and inverse -- Hyperbolic functions -- Inverse hyperbolic functions -- | |
505 | 8 | |a 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] -- | |
505 | 8 | |a 2. Understanding the mean value theorem -- Rolle's theorem and the mean value theorem -- | |
505 | 8 | |a 3. Determining concavity and extrema -- The second derivative and extrema -- The proof of the second derivative test for local extrema -- | |
505 | 8 | |a 4. Drawing the graph of a function -- | |
505 | 8 | |a 5. Using maxima and minima in real applications -- Optimization -- Applications to economics -- | |
505 | 8 | |a 6. The importance of inverse functions -- Inverse trigonometric functions -- | |
505 | 8 | |a 7. Using the derivative of an inverse function -- The general expression -- The derivatives of inverse trigonometric functions -- The proof of theorem 1 (optional) -- | |
505 | 8 | |a 8. Applying the natural exponential function and the natural logarithm -- The natural logarithm -- | |
505 | 8 | |a 9. Exponential functions with arbitrary bases -- Logarithmic functions with arbitrary bases -- Arbitrary powers of x -- | |
505 | 8 | |a Index. | |
506 | 1 | |a Restricted to libraries which purchase an unrestricted PDF download via an IP. | |
650 | 0 | |a Calculus. | |
650 | 0 | |a Functions, Special. | |
650 | 0 | |a Maxima and minima. | |
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