SOLUTION: How is the derivative AND the integral of e^x equal to itself? This just baffles me.

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Question 983973: How is the derivative AND the integral of e^x equal to itself? This just baffles me.
Answer by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
Hi dear,
Recall that
e%5Ex=1%2Bx%2B%28x%5E%282%29%29%2F2%21%2B%28x%5E%283%29%2F3%21%29%2B%28x%5E%284%29%2F4%21%29
If you are to diffefentiate e^x,
you will notice that it will repeat 1%2Bx%2B%28x%5E%282%29%2F2%21%29%2B%28x%5E%283%29%2F3%21%29
and this makes it to remain as e^x.
Also on integrating,it will remain thesame.
That is why the drivative of e^x is thesame as the integral of it.
Please,try differentiate the above to see it your self.
IS THAT OK?,
Best regards,
Timnewman.