Question

Найти производную(сложную) 1+2x/√1-2x

Answer 1

(1+2х)/√(1-2х))'=
(1+2х)'•(√1-2х)-(√1-2х)'(1+2х)/(√1-2х)²=
2(√1-2х)-1/2(1-2х)^(-1/2)*(-2)(1+2х)/(1-2х)=
2√(1-2х)+(1-2х)^(-1/2)(1+2х)/(1-2х)=
2(1-2х)+(1+2х)/(1-2х)(√1-2х)=
=(3-2х)/(1-2х)(√(1-2х)
привет привет​