The Cosmic Game ( PDFDrive.com )

Cosmic Game © Douglass A. White, 2012 v151207 239
If y = ln x, then e y = x. Differentiate both sides with respect to x: e y dy/dx = 1. Then
substitute x in for e y and get x dy/dx = 1. Divide both sides by x to get: dy/dx = 1/x. If
f(x) = ln x, then f '(x) = 1/x. No limits are needed for this method.
Now we take e x = y. By definition ln (e x ) = x for all x. We convert our starting
expression to natural logs: ln (e x ) = ln (y), and then substitute: x = ln (y). We take the
derivative of x and the derivative of y with respect to x and get: 1 = dy/dx (1/y), since we
already found that if f(x) = ln x, then f '(x) = 1/x. Next we multiply both sides by y,
getting y = dy/dx. Finally we substitute e x for y and get our final result: e x = d e x /dx.
Appendix H: Selected Books and Products by Dr. White
(For Those Ready to Go "Deeper")
Published by Delta Point Educational Technologies
Available at www.dpedtech.com
The Senet Tarot Oracle Deck of Ancient Egypt. English edition: $20.00.
Crimson Velvet Tarot Card Bag with Golden Eye of Wisdom. Price: $6.95.
Senet Tarot Deck and Bag: Price $25.00. (With Book included: $29.00)
Digital Books:
A. The Senet Tarot of Ancient Egypt. Parts I and II. (Part I FREE) Part II Price: $5.00
B. The Pyramid Texts: Avatar Wizards of Eternity. Intro. + 5 volumes, Price: $45.00.
C. The Litany of Ra (Tarok Naipe). Price: $19.95.
D. A Tour of Atlantis, or What Happens in the Astral Realm. 3 parts. (Amduat). $5 ea.
E. The Senet Game Text of Ancient Egypt. Price: $5.95.