Can the derivative of an exponential function be calculated with logs base something other than e? Like base 10 or 2?
Could you maybe expand on that? Or point out somewhere where I could read about it?You can, but you will get an extra constant from the chain rule. Just use a change of base formula for log or rewrite an exponential in some other base and the term comes right out.
##e## is important precisely because it's the only base of the exponential where after differentiating the constant is ##1##.