CTK Exchange
Front Page
Movie shortcuts
Personal info
Awards
Reciprocal links
Privacy Policy

Interactive Activities

Cut The Knot!
MSET99 Talk
Games & Puzzles
Arithmetic/Algebra
Geometry
Probability
Eye Opener
Analog Gadgets
Inventor's Paradox
Did you know?...
Proofs
Math as Language
Things Impossible
My Logo
Math Poll
Other Math sit's
Guest book
News sit's

Manifesto: what CTK is about |Store| Search CTK Buying a book is a commitment to learning Table of content Things you can find on CTK Chronology of updates Email to Cut The Knot

CTK Exchange

Subject: "Conditions for following equation t..."     Previous Topic | Next Topic
Printer-friendly copy     Email this topic to a friend    
Conferences The CTK Exchange College math Topic #67
Reading Topic #67
Ted Dang (Guest)
guest
Mar-01-01, 00:10 AM (EST)
 
"Conditions for following equation to be true"
 
   f(x) exists, y(x) also exists

f(x) is written as g(x,y)

My question: Under what conditions does

(df/dx) = (pg/px) + (pg/py) (dy/dx)?
y x

Note that(pg/px) is supposed to be a partial derivative.

Thanks in advance.


  Alert | IP Printer-friendly page | Edit | Reply | Reply With Quote | Top
alexb
Charter Member
672 posts
Mar-02-01, 00:13 AM (EST)
Click to EMail alexb Click to send private message to alexb Click to view user profileClick to add this user to your buddy list  
1. "RE: Conditions for following equation to be true"
In response to message #0
 
   >f(x) exists, y(x) also exists
>
>f(x) is written as g(x,y)
>
>My question: Under what conditions does
>
>
>(df/dx) = (pg/px) + (pg/py)(dy/dx)?
>

If all three terms on the right exist, the left hand-side also exists and they are equal.


  Alert | IP Printer-friendly page | Edit | Reply | Reply With Quote | Top

Conferences | Forums | Topics | Previous Topic | Next Topic

You may be curious to visit the old CTK Exchange archive.

|Front page| |Contents|

Copyright © 1996-2018 Alexander Bogomolny

[an error occurred while processing this directive]
 Advertise

New Books
Second editions of J. Conway's classic On Numbers And Games and the inimitable Winning Ways for Your Mathematical Plays