Introductory calculus : maxima, minima, and special functions /
Geveci, Tunc.,
Introductory calculus : maxima, minima, and special functions / Tunc Geveci. - 1 online resource (216 pages) : illustrations.
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.
9781606508541
Calculus.
Maxima and minima.
Functions, Special.
Libros electronicos.
QA300 / .G485 2015
515
Introductory calculus : maxima, minima, and special functions / Tunc Geveci. - 1 online resource (216 pages) : illustrations.
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.
9781606508541
Calculus.
Maxima and minima.
Functions, Special.
Libros electronicos.
QA300 / .G485 2015
515