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woundedtiger40
what is the difference between dy/dx & ∂y/∂x aren't both same?
follow this : http://mathoverflow.net/questions/73492/how-misleading-is-it-to-regard-fracdydx-as-a-fraction
both d ∂ symbol work same in differentiation but then why sometimes in text d is used & sometimes ∂
I read that dx is for exact differential and the other one for inexact differentials.
dy/dx is the differentiation of y wrt x, while del y/del x is the partial derivative of y wrt x keeping all other variables constant.
so ∂ is part of multivariable calc & d is a part of single variable calc? am i right? @arcticf0x
But that means that dy/dx is a special case of the other no, and that is not the case.
isnt the curved d used for partial derivatives?
@arcticf0x yeah you are right because I first encountered with ∂ in calc3 (multi) whereas in calc1&2 only used d
Yeah, check this out too http://en.wikipedia.org/wiki/Partial_derivative
thanx @arcticf0x
I read that a little amount of work must be represented with this \[\partial W\] and not \[dW\] but I still don't get the reasong.
lets say x^2-2y=2 If you take dy/dx, using implicit differentiation, \[2x-2\frac{dy}{dx}=0\] \[\frac{dy}{dx}=x\] --------------------------------------------- ∂y/∂x,= 2x-0=0 ∂y/∂x,= 2x