Question

Найдите производную функции у=x8/x10-1

Answer 1

$y=\frac{x^8}{x^{10}-1}\\\\y'=\frac{8x^7(x^{10}-1)-x^8\cdot 10x^9}{(x^{10}-1)^2}=\frac{-2x^{17}-8x^7}{(x^{10}-1)^2}=-\frac{2x^7\cdot (x^{10}+4)}{(x^{10}-1)^2}$