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Calculus Help!!! Derivaties

A

Aganack1

Senior member
I've been spending the last hours trying to find out what the derivative of f(x)=x^x^x

what i have right now is
dy/dx =(x^x * ln^2x + x^x * lnx + x^(x-1))x^x^x

But for some reason i think i am missing a chain rule...

Any help would be great!!!

Thanks

Aganack
 
derivative of the first set of brackets times the second plus derivative of the second times the first

thats ugly though, i could work it out if i had to.

 
I haven't worked out the answer, but from looking at yours, it doesn't look like there're any glaring mistakes.
 
Wahahahahahaha!!!

Put this in:

cos[ln[x^x arctan[csc[arccos[x^cot[x-ln[cos[x^x]]]]]]]]

... and do the 2nd derivative 🙂
 
Originally posted by: Goosemaster
DEAR LORD!....that thing does integrals!

WOW!

EDIT: Password Protected..stilli can get an answer however
Click to expand...

Yeah. It says it's powered by web mathematica, so it's gotta be pretty damn robust.
 
Originally posted by: silverpig
Originally posted by: Goosemaster
DEAR LORD!....that thing does integrals!

WOW!

EDIT: Password Protected..stilli can get an answer however
Click to expand...

Yeah. It says it's powered by web mathematica, so it's gotta be pretty damn robust.
Click to expand...

Yea..I didn't know mathmatica gave you EXPLANATIONS, however. Sweet

 
Hmm, it didn't like that second derivative much...

HTTP Status 500 - webMathematica timeout error.

type Status report

message webMathematica timeout error.

description The server encountered an internal error (webMathematica timeout error.) that prevented it from fulfilling this request.

ie: I broke it 🙂

It still came up with the first derivative though... impressive.
 
Originally posted by: Goosemaster
Originally posted by: silverpig
Originally posted by: Goosemaster
DEAR LORD!....that thing does integrals!

WOW!

EDIT: Password Protected..stilli can get an answer however
Click to expand...

Yeah. It says it's powered by web mathematica, so it's gotta be pretty damn robust.
Click to expand...

Yea..I didn't know mathmatica gave you EXPLANATIONS, however. Sweet
Click to expand...

No kidding...

Where oh where was this site when I was doing calc 1/2? 🙂
 
Use logarithmic differientation:

for f(x) = x^x

ln(f(x)) = ln(x^x) = xln(x)

take derivative to both sides

f'(x)/f(x) = (x*1/x)+ln(x) = 1+ln(x)

So f'(x) = (1+ln(x))*f(x) = 1+ln(x)*(x^x)

Now use similar process for x^x^x.
 
Yikes, it does matrix algebra, integrals, polynomials... why didn't I find this sooner??? It would have saved so much work lol.
 
Originally posted by: silverpig
Link to site I ripped that from...

Try putting something really nasty in. I managed to get a full step by step solution for something like

d/dx cos[ln[cot[arcsin[ln[arctan[x^x]]]]]]

It's crazy long and nasty. Kinda cool that it can do it though 🙂
Click to expand...

It also does matrix algeba! :Q Thanks, I have this bookmarked, this could come in handy next semester. 😀
 
Thanks guys, it helped a lot. I have been going through your answer and just realized that I messed up on the last step, simplify!!!!
 
lol that website is definitely going into my Favorites Links

i'm already done with calculus though but i still have a physics class and a linear algebra class left, so if i ever encounter some nasty looking eqn where u have to derive or integrate i'll be sure to pay this website a visit....or i can just go dl maple EITHER WAY THX!
 
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