Register to reply

A question about notation on derivatives

by atomqwerty
Tags: derivatives, notation
Share this thread:
atomqwerty
#1
Jan21-13, 01:20 AM
P: 94
Hi,
I didn't put this into homework since is only a question about notation:

In a problem, given a Lagrangian and a transformation (x,y) -> (x',y'), where these x' and y' depend on λ, in particular like [itex]e^{\lambda}[/itex]. The problem asks for the derivative [itex]\frac{\delta L}{\delta \lambda}[/itex]. What this notation corresponds to? Thanks
Phys.Org News Partner Mathematics news on Phys.org
Heat distributions help researchers to understand curved space
Professor quantifies how 'one thing leads to another'
Team announces construction of a formal computer-verified proof of the Kepler conjecture
HallsofIvy
#2
Jan21-13, 08:55 AM
Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,556
That is the "total derivative",
[tex]\frac{\delta L}{\delta \lambda}= \frac{\partial L}{\partial x}\frac{dx}{d\lambda}+ \frac{\partial L}{\partial y}\frac{dy}{d\lambda}[/tex]
by the chain rule.

It more often seen in physics texts than math texts. Math texts would just us "[itex]dL/d\lambda[/itex]".


Register to reply

Related Discussions
Question about Leibniz's notation for derivatives Calculus 9
Question about notation on derivatives Calculus & Beyond Homework 4
Notation for derivatives Calculus & Beyond Homework 6
Second derivatives using delta notation Calculus & Beyond Homework 2
Derivatives in Vector Notation Calculus & Beyond Homework 17