Question

найти производную
y=$frac{1-sin2x}{1+sin2x}$

Answer 1

$y= frac{1-sin2x}{1+sin2x} \\y'= frac{-2cos2x(1+sin2x)-(1-sin2x)cdot 2cos2x}{(1+sin2x)^2} = frac{-4cos2x}{(1+sin2x)^2}= \\=frac{-4cos2x}{(sin^2x+cos^2x+2sinxcdot cosx)^2} = frac{-4cos2x}{(sinx+cosx)^4}$