Calculus Help!!! Derivaties

[Aganack1]

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

 

[BlueWeasel]

Ouch...that makes my head hurt. I took Calculus 1 thru 4 my first two years in college.

...Here's a bump for ya...

 

[eakers]

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.

 

[silverpig]

Maple is your friend.

 

[DXM]

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

 

[silverpig]

You can thank me later...

wait... i messed it up


fixing

EDIT: Fixed

 

[bleeb]

Originally posted by: silverpig
You can thank me later...

wait... i messed it up


fixing

EDIT: Fixed

Nice solutions! Maple?? Mathematica?

 

[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

 

[Goosemaster]

Originally posted by: bleeb

Originally posted by: silverpig
You can thank me later...

wait... i messed it up


fixing

EDIT: Fixed

Nice solutions! Maple?? Mathematica?

Wisdom.

 

[Goosemaster]

DEAR LORD!....that thing does integrals!

WOW!

EDIT: Password Protected..stilli can get an answer however

 

[silverpig]

Wahahahahahaha!!!

Put this in:

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

... and do the 2nd derivative

 

[silverpig]

Originally posted by: Goosemaster
DEAR LORD!....that thing does integrals!

WOW!

EDIT: Password Protected..stilli can get an answer however

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

 

[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

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

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

 

[silverpig]

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.

 

[silverpig]

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

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

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

No kidding...

Where oh where was this site when I was doing calc 1/2?

 

[Ausm]

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

dayuum cool site thx

Ausm

 

[SpecialEd]

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.

 

[silverpig]

Yikes, it does matrix algebra, integrals, polynomials... why didn't I find this sooner??? It would have saved so much work lol.

 

[DXM]

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

It also does matrix algeba! :Q Thanks, I have this bookmarked, this could come in handy next semester.

 

[silverpig]

me for elite!!! w00t!!!

heh

 

[Aganack1]

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!!!!

 

[willboxer]

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!

 

[matt426malm]

excellent link

 

[speg]

That link is a REPOST!!!!!!!!! You guys are not on the down 'lo.