It's not really homework, although that is where I encountered this first time.(adsbygoogle = window.adsbygoogle || []).push({});

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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Some basic derivative-integral issues

**Physics Forums | Science Articles, Homework Help, Discussion**