u=x^y
show that d^3u/dx^2dy=d^3u/dxdydx

Question

u=x^y
show that d^3u/dx^2dy=d^3u/dxdydx

shrutipande9 · Answer

all the d's replaced by daba...i dnt know how 2 insert that

hartnn · Answer

you need to show or need to verify it for u=x^y ?

shrutipande9 · Answer

u=x^y given...i have 2 prove that lhs=rhs in d next eq

hartnn · Answer

cool
so you know how to find, 
$\large \dfrac{\partial u}{\partial y}$
first ?

shrutipande9 · Answer

yep

hartnn · Answer

what will be the answer to that ?

shrutipande9 · Answer

how d hell do u insert these signs...:\

shrutipande9 · Answer

x^ylogx

hartnn · Answer

i wrote this code inside \ [...\ ]  without spaces
\large \dfrac{\partial u}{\partial y}



and thats correct,
 so now can you find 
$\large \dfrac{\partial [x^y \log x]}{\partial x}$
?

shrutipande9 · Answer

i guess...i m not sure weder dis is correct..yx^(y-1)logx+x^(y-1)

hartnn · Answer

actually, $\large \large \dfrac{\partial^3 u}{\partial^2x\partial y}=\large \dfrac{\partial }{\partial x} (\dfrac{\partial }{\partial x}[\large \dfrac{\partial u}{\partial y}]))$

hartnn · Answer

does that^ make sense ?

shrutipande9 · Answer

ahhann...this is wat i wanted 2 verify...cool:D

hartnn · Answer

yep, and i think now you can also work out the right side..

shrutipande9 · Answer

yep...thanks a ton:) now i know y ppl write so gud testimonials for u:P

hartnn · Answer

haha, aadat se majboor :P

shrutipande9 · Answer

abhi chaane ke jhaad pe maat chadh:P but still thx...the thnx is from my sis...it was her problem

hartnn · Answer

ohhh...tabhi mai sochu! ye biotech waale partial kab se seekhne lag agye :O

shrutipande9 · Answer

dude..i had all this partial ka stuff in my first yr..isiliye mujhe thoda yaad aa raha tha..juz wanted 2 confirm..

hartnn · Answer

aree, ok baba, bhadakna mat plz :P 
i was just kidding ;)

shrutipande9 · Answer

dnt wrry...i dnt get angry so quickly:)...i m happy...abhi bhi mujhe ye sab yaad aa raha hai..:D

hartnn · Answer

cool :)

shrutipande9 · Answer

:)

shrutipande9 · Answer

u gave me  medal?? lol:P

hartnn · Answer

i did,
for making an effort to solve the problem by yourself too, 
thats the sign of good learner

shrutipande9 · Answer

hahaha...:P thnx neway

hartnn · Answer

you're always welcome ^_^

shrutipande9 · Answer

aise aur 2 ques hai....tell me weder 2 go in d same manner or not..plz

hartnn · Answer

if same type , then same manner.

shrutipande9 · Answer

ohh ok...

hartnn · Answer

and if you get stuck, i'm always here.

shrutipande9 · Answer

:) thnx a ton