Today I'm having a really slow #math brain day. I'm trying to reduce an expression so that I can write it in terms of derivatives and possibly simplify the proof that it has a given Taylor series expansion.
I've currently managed to write the original expression in terms of a certain function f(x) and its first two derivatives as:
f(x) f''(x)/(f'(x)^2)
or equivalently
( f(x) / f'(x) ) / ( f'(x)/f''(x) )
which I've managed to express as
D( log(f'(x)) / D( log(f(x)) )
(D being the derivative operator) but this seems like a dead end. I feel like there's something trivial escaping me. #mathHelp