Some Diferentiation

© 1999 T. D. Morley

tan ^3 (2 Pi x)

[Graphics:diffgr2.gif][Graphics:diffgr1.gif]
[Graphics:diffgr2.gif][Graphics:diffgr3.gif]

[Graphics:diffgr2.gif][Graphics:diffgr4.gif]
[Graphics:diffgr2.gif][Graphics:diffgr5.gif]

[Graphics:diffgr2.gif][Graphics:diffgr6.gif]
[Graphics:diffgr2.gif][Graphics:diffgr7.gif]

I would have never gotten this simplification!

sin(x+y) = x y

[Graphics:diffgr2.gif][Graphics:diffgr8.gif]
[Graphics:diffgr2.gif][Graphics:diffgr9.gif]

[Graphics:diffgr2.gif][Graphics:diffgr10.gif]
[Graphics:diffgr2.gif][Graphics:diffgr11.gif]