Производная от 8/х?????

[latex]y'(x)=-\frac{8}{x^2}[/latex]   [latex](\frac{f}{g})'=\frac{f'*g-f*g'}{g^2}[/latex] [latex]y'(x)=(\frac{8}{x})' =\frac{(8)'*x-8*(x)'}{x^2}=-\frac{8}{x^2}[/latex]

[latex](\frac{8}x)'=8(\frac{1}x)'=8(x^{-1})'=8(-1\cdot x^{-2})=\boxed{-\frac{8}{x^2}}[/latex]