perplexus.info :: Calculus : e^(e^x)

e^(e^x) (Posted on 2011-02-08)

Find a formula, involving n, the number of e's present in the below function, for the derivative of :

Submitted by Math Man

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Solution: (Hide)

The derivative of e^x is e^x.
The derivative of e^{e^x} is e^xe^{e^x}.
The derivative of e^{e^{e^x}} is e^xe^{e^x}e^{e^{e^x}}.
...
The derivative of e^{e^{...^{e^x}}} is e^xe^{e^x}e^{e^{e^x}}...e^{e^{...^{e^x}}}.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Ruling	Gamer	2011-02-09 04:15:26
Solution	Bractals	2011-02-08 16:17:36
possible solution	Daniel	2011-02-08 15:59:41
re: Possible approach	Steve Herman	2011-02-08 14:01:00
Possible approach	broll	2011-02-08 12:55:37

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