11/14/2009, 05:50 AM

Hey there,

First of all, I'm completely new to calculus in any form, so please excuse any completely obvious errors if there are any.

I was just wondering the other day about the derivative of a Power Tower. I tried to treat it as a x^n, and came up with

f(a, b) = a \uparrow \uparrow b

f'(a, b) = (a \uparrow \uparrow b) a^{(a \uparrow \uparrow [b-1]) -1}

Is this correct?

Cheers,

Amherst

First of all, I'm completely new to calculus in any form, so please excuse any completely obvious errors if there are any.

I was just wondering the other day about the derivative of a Power Tower. I tried to treat it as a x^n, and came up with

f(a, b) = a \uparrow \uparrow b

f'(a, b) = (a \uparrow \uparrow b) a^{(a \uparrow \uparrow [b-1]) -1}

Is this correct?

Cheers,

Amherst