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[QUOTE="davon806, post: 5427826, member: 439351"] [h2]Homework Statement [/h2] Hi,I saw a statement in my physics notes like this(Anyway it is a maths problem): [ATTACH=full]98254[/ATTACH] where L is a general differential operator.G is a green's function(I guess it is irrelevant) My question is related to the red line: Suppose we have this: ∂/∂x ∫ f(x-y)g(y) ∂y is it generally true that ∂/∂x ∫ f(x-y)g(y) ∂y = ∫ ∂/∂x [ f(x-y)g(y) ] ∂y ? [h2]Homework Equations[/h2] Please answer it as simply as you can...Since I have not done multivariable calculus...(Though I would be happy to check it out if there is a theorem related to this.) [h2]The Attempt at a Solution[/h2] If the above is simplified to ∂/∂x ∫ f(x)g(y) ∂y ,then ∂/∂x [f(x) ∫ g(y) ∂y] ⇒ ∫ ∂/∂x [ f(x) ] g(y) ∂y ⇒ ∫ ∂/∂x [ f(x)g(y) ] ∂y But I don't know what to do with the (x-y) term.. Thanks [/QUOTE]
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