How did the idea of rocket propelled AT (anti tank) weapons came about and how effective was they on the battlefield?

Hello second world war crew from the USA I been with you all since 1914. I have a question for out of the fox hole. I know this isn’t until much later in the war but I wanted to know more about rocket propelled AT (anti tank) weapons like the German panzerfaust, panzerchreck, the American M1, M2 Bazooka and possibly recoilless rifles. This doesn’t count but the British PIAT is another example. How did the idea of these weapons came out and how effective was they on the battlefield?
P.S. keep you the awesome work.

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