Question

Знайти похідну (производную) y=x^2/x-1

Answer 1

Ответ:

$(\frac{x^{2} }{x-1} )' = \frac{(x^{2})' * (x-1)- x^{2} * (x-1)'}{(x-1)^{2} } = \frac{2x(x-1)- x^{2} * 1}{(x-1)^{2} } = \frac{2x^2-2x- x^{2}}{x^2-2x+1 } = \frac{x^2-2x}{x^2-2x+1 }$