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This is my first post and I must emphasise that I do not have a science/maths training background and this might be a very basic question. I apologise if it is too basic to belong here.

I have a function defined as follows:

E(I,J) = [itex]\int CC_{p}(I,J)dp[/itex]

Just a little context, I am trying to do some image processing and E is some energy function (based on two images I and J) that needs to be maximised. CC is the cross correlation in an image neighbourhood p and the total energy is given by the summing up these local contributions.

Anyway, to maximise this function with respect to some variable 'v', I need to compute the derivative [itex]\frac{\partial E}{\partial v}[/itex]

My question is can I use the fundamental theorem of calculus and say that

[itex]\frac{\partial E}{\partial v} = \frac{\partial CC_{p}}{\partial v}[/itex]

I get a bit confused about this. I would really appreciate your help.

Thanks,

Anja

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# A basic question about computing this derivative

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