Question

Y=lnsin^2(x-1) найти производные

Answer 1

$y'=(lnsin^2(x-1))'=frac{1}{sin^2(x-1)}cdot 2sin(x-1)cdot cos(x-1)=2{rm ctg},(x-1)$

Answer 2

$(lnsin^2(x-1))`= frac{(sin^2(x-1))`}{sin^2(x-1)}= frac{2sin(x-1)*cos(x-1)}{sin^2(x-1)}=\\=frac{2cos(x-1)}{sin(x-1)}=2ctg(x-1)$