Question

Найти производную (2x-1)\(x-1)^2

Answer 1

y'= ((2x-1)'*(x-1)^2-((x-1)^2)'*(2x-1))/(x-1)^4=(2(x-1)^2-4x^2+1)/(x-1)^4= (2x^2-4x+1-4x^2+1)/(x-1)^4=(-(2x^2+4x))/(x-1)^4=(-2x(x+2))/(x-1)^4