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  • is there any difference between these Differential $dx^2$ and $(dx)^2$!?

  • what is relation between them?

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Why are you asking it at Physics.SE? Isn't Maths.SE correct place for it? –  Sachin Shekhar Jul 8 '12 at 10:25
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Note that in the context of (one-dimensional) Riemannian manifolds, the flat space metric tensor $(dx)^2$ is always written as $dx^2$. –  Qmechanic Dec 9 '12 at 19:36
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closed as off topic by Carl Brannen, Kostya, Qmechanic, David Z Jul 8 '12 at 16:04

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1 Answer

You can write:

$dx^2=2xdx$

Instead $(dx)^2$ is usually intended as a second order correction and typically is neglected in calculations.

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