Why no summation term when deriving the regularization term

I was confused at first by this second term not having the summation, and then realized it was intentional when Andrew points it out at at the point that I screenshotted below.

Could someone explain though why this is dropped?

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Whoops, my apologies. I probably should of spent more time searching as I see this was already answered here: Derivative of regularization term - #2 by shanup

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