Question

Y' =(х÷(х-1)²)' найти производную

Answer 1

$y`= (frac{x}{(x-1) ^{2} })`=[ (frac{u}{v})`= frac{u`cdot v- ucdot v`}{v ^{2} }]= frac{x`(x-1) ^{2}-xcdot((x-1) ^{2})` }{((x-1) ^{2})^{2} }= \ =frac{1cdot (x-1) ^{2}-xcdot2(x-1)cdot (x-1)` }{(x-1) ^{4} } =frac{(x-1)(x-1-2x) }{(x-1) ^{4} } = -frac{(x+1) }{(x-1) ^{3} }$

Answer 2

а куда 2 делась?!

Answer 3

2х получили и х-2х=-х