I tried to derivate why (e^x)' = e^x

Today, I tried to derive a function that is equal to its own derivative (e\^(x)). If you spot any mistakes, please leave a comment. I look forward to your feedback!

Comment from my last post:

To all users: I am NOT a mathematician or physicist! I'm just a 10th grader loving doing math and share it to get "normal" Feedback, and with "Feedback" I mean if I did something wrong you should explain it instead saying like "oh my gosh how bad you did this and this wrong" this CAN'T help me.

Thanks for reading

Author: Xxmanglexx4906