?? "quotient rule" ... ??

?? logarithmic derivative of f/g as f'/f - g'/g .... ??? then multiply by f/g ??? ....

f'/g - fg'/g^2 ... ??? ....

?? product rule .... ?? ...

logarithmic derivative of fg as f'/f + g'/g ; then multiply by fg ...

?? row of ratios ...... ??????? .....

?? f'/f - 1 .... ???? .....

(f'-f)/f ????? .....

?? confusion here .... ?? .... f'/f + 1 .... (f+f')/f ...... ?????? ..... ??? ....

?? derivative of logarithm vs exponential of derivstive ....... ????? ....... ????? ...... ?? exponential of derivative as seeming somewhat silly ??? .....

??? exponential of logarithmic derivative ??? ......

??? still feels like there's an idea here somewhere that i'm groping for ... ???? .....

???? "row of ratios" .... ?? [row of differences] of logarithm .... ??? .....