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There isn't any easy way to do anything. Short-cut is a cut-shot.Try to understand what is given in the derivation,if not able so take help from books/notes/internet.Practice and write yourself without cheating.After 3-4 days you will succeed and will be able to learn all other derivations easily.:)
There is no real shortcuts. If you want to learn derivations easily, you must revise it every day.