Question

Найдите производную функции
y=2-x^2/x

Answer 1

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