Author |
Topic: Differentiation Problem (Read 247 times) |
|
ThudnBlunder
wu::riddles Moderator
Uberpuzzler
The dewdrop slides into the shining Sea
Gender: 
Posts: 4489
|
 |
Differentiation Problem
« on: Dec 3rd, 2003, 11:23pm » |
 Quote  Modify
|
Let
z = xx
and y = xz
Find dy/dx
|
|
 IP Logged |
THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
|
|
|
TenaliRaman
Uberpuzzler
I am no special. I am only passionately curious.
Gender:
Posts: 1001
|
|
Re: Differentiation Problem
« Reply #1 on: Dec 4th, 2003, 1:43am » |
Quote Modify
|
::
isn't the simple chain differentiation stuff? or is there anything intricate i am missing.
y=xz
lny=zlnx
(1/y)(dy/dx)=z/x + lnx(dz/dx) ..(*)
z = xx
lnz = xlnx
(1/z)(dz/dx) = 1+ln(x) .. (**)
subbing (**) in (*) and rearranging,
(dy/dx) = xx^x+x*(lnx)2 + xx^x+x*(lnx) + xx^x+x-1
::
|
| « Last Edit: Dec 4th, 2003, 1:44am by TenaliRaman » |
IP Logged |
Self discovery comes when a man measures himself against an obstacle - Antoine de Saint Exupery
|
|
|
towr
wu::riddles Moderator
Uberpuzzler
Some people are average, some are just mean.
Gender:
Posts: 13730
|
|
Re: Differentiation Problem
« Reply #2 on: Dec 4th, 2003, 2:22am » |
Quote Modify
|
yep.. that seem about right..
this also work
::
(d/dx x^a^a + a^x^a + a^a^x)[a:=x]
::
It probably gives some people the wrong idea though..
|
|
IP Logged |
Wikipedia, Google, Mathworld, Integer sequence DB
|
|
|
|
RIDDLES SITE
WRITE MATH!
Home 
Help 
Search 
Members 
Login 
Register
Reply
Notify of replies
Send Topic
Print