Question

производная от 8/х?????

Answer 1

$y'(x)=-frac{8}{x^2}$

 

$(frac{f}{g})'=frac{f'*g-f*g'}{g^2}$

$y'(x)=(frac{8}{x})' =frac{(8)'*x-8*(x)'}{x^2}=-frac{8}{x^2}$

Answer 2

$(frac{8}x)'=8(frac{1}x)'=8(x^{-1})'=8(-1cdot x^{-2})=boxed{-frac{8}{x^2}}$