- #1
Robokapp
- 218
- 0
It's not really homework, although that is where I encountered this first time.
I had to evaluate the integral from zero to whatever of 3^x.
I realized...while dy/dx of e^x=e^x the dy/dx of any number not equal to e does not follow the same pattern. It has a different formula.
Same for Log base e (the natural log)...so I'm asking, isn't e and any number n constants? why does the derivative or integral of e^x differ from n^x ?
Also, why is log base e (natural log) different in formul than any other log?
I don't understand why a constant won't act like the others. Is it that e was discovered this way purposelly? Or e was already known and it just hapepned to work this way?
I know I'm splitting hairs here, but it would be useful to understnad how they work, in interest of saving brain capacity...
Thank you for your time.
~Robokapp
I had to evaluate the integral from zero to whatever of 3^x.
I realized...while dy/dx of e^x=e^x the dy/dx of any number not equal to e does not follow the same pattern. It has a different formula.
Same for Log base e (the natural log)...so I'm asking, isn't e and any number n constants? why does the derivative or integral of e^x differ from n^x ?
Also, why is log base e (natural log) different in formul than any other log?
I don't understand why a constant won't act like the others. Is it that e was discovered this way purposelly? Or e was already known and it just hapepned to work this way?
I know I'm splitting hairs here, but it would be useful to understnad how they work, in interest of saving brain capacity...
Thank you for your time.
~Robokapp