Why does e^x - e^x=e^x?
and why does e^x + e^x = e^x?
This doesn't make sense. I know that the derivative of e^x=e^x, that makes sense. But the adding and subtracting 2 of them to = the same thing is weird.
There are several examples in my book that show this. Please explain?
I could be wrong but could several other websites be wrong? I suppose they could...please see this about the problem:
Derivatives of exponential and logarithmic functions - An approach to calculus
"The derivative of ex with respect to x
is equal to ex."
It may be obvious to super smart folks like you, I'm just a lowly biotechnologist and my current job in cancer research doesn't require calculus so I am resigned to being referred to as dumb. Condescend away!!! I don't mind at all.
Thank you for elucidating that you do not add the suffix together. Then why was everyone in the posts above telling me that if you add two of them together it does not equal one?
Not trying to be condescending here, but here's by best shot
one "e to the x" plus one "e to the x" equals 2 "e to the x"
You add the coefficients and keep the same
This is not any different from adding
You have 3 of "something" and you add 5 of "something" so you get 8 "somethings" i.e.
now read what you originally wrote
I am so glad that math geniuses like you all exist. It keeps the rest of us from going insane, I tell you, INSANE! Thank you tons, I completely understand now.
I give you the imaginary medal of "Smarty Pants & Extra Patient Math Helper and Super Explainer of Concepts".
(sorry, it's late and I've done about 12 hours of calculus today, seriously)