Thoughts of and for the Past, Present, & Future
Many ideas are addressed here. At present, in the course outline written by the math department and in the textbook chosen for the course, the topic is "Derivatives of Inverse Functions." So, with the text you will be taking derivitives of inverse trig functions. This page is more for the math which "entitles" the student to use the arcfunction derivatives listed in the table because they have "earned" their use through study. This page also facilitates the "harvesting" of material for the assigned Test Summary. From the past, one must know basic Pythaghorean Theormem geometry, basic "Oscar Had A Heap of Apples" trig, inverse functions, and the derivatives of the trig functions you learned earlier in the course. In the future, the antiderivatives of the arcfunctions should be obvious.
It is left for the reader to find another source for problems on using an arcfunction derivative formula for taking the derivative. 

Dowload
inverse.gsp  Sketchpad of inverse functions

Download Geometer's Sketchpad for Free! at http://www.keypress.com/gsp/download 
Oscar Had A Heap Of Apples Short Answers Long Review Long Answers 
a square root function w/ text a square root function w/o details the sine function w/ details the sine function w/o details 
arccosine arctangent arccosecant arcsecant arccotangent 
Dowload
absement.gsp Use sheet 14 & 15

www.mathnstuff.com/math/spoken/here/2class/420/inverseFX.htm 