Taylor Series Expansions of Inverse Hyperbolic Functions

This lesson has information explaining the Inverse Hyperbolic Functions. There is a worked example that the student can look over and one that the student can work and check the answer.

A complete list of hyperbolic functions, plots of hyperbolic functions, and formulas. Includes links to related topics.

Video lesson using a Taylor series to approximate e^x around x=3 by using a polynomial function and then showing some of the graphs of the expansion by using the Wolfram Alpha website. [6:38]

Video lesson showing how to approximate a function at any value using a polynomial by deriving the formula for a Taylor series. [7:27]

Video lesson showing the formula for a Taylor series expansion to five terms and uses it to approximate the cosine function. Includes the graphs of a specific number of terms of the approximate function using a graphing calculator. [18:05]

This site has links to information and examples on the inverse hyperbolic functions.

This site defines the six fundamental hyperbolic fucntions and contains related links. Also provides graphs and pictures for further understanding.

This site has a table of the relationships between the various Inverse Hyperbolic Functions. It has links to related topics.

Video lesson using the Wolfram Alpha website to show the graphs of the Maclaurin series expansion of the sine function, demonstrating that approximations with more terms are better approximations of the sine curve. [6:01]

Site has information and examples for topics about hyperbolic functions and inverses.