Math Is Fun Forum

Kurtz

Member

Registered: 2007-10-01

Posts: 27

Calculus: Derivatives

Hi how do I find the derivatives of:

y= X^X

and

y=X^X^X

My teacher say it is involves implicit solving and natural log "ln"

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I am a mathemagician. You ask why? I point up

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: Calculus: Derivatives

Taking natural log on both sides first. For the first one, you have

For the second one,

where

(use the first part for

).

By the way, I interpreted your X^X^X to mean

rather than

. The latter is just

.

Last edited by JaneFairfax (2009-01-28 09:09:11)