Question

y=cosx/x+sinx найти производную

Answer 1

$y= frac{cosx}{x+sinx}$
$y'= frac{-sinx(x+sinx)-cosx(1+cosx)}{(x+sinx)^{2}}=frac{-x*sinx-sin^{2}x-cosx-cos^{2}x}{(x+sinx)^{2}}=frac{-x*sinx-1-cosx}{(x+sinx)^{2}}=-frac{x*sinx+1+cosx}{(x+sinx)^{2}}$