Question

найти дифференциал функции
$y = \cos( x {}^{2} - 2 \times x + 1)$

Answer 1

$y=\cos(x^2-2x+1)\\ dy = y'dx\\ y' = (\cos(x^2-2x+1))'=-\sin(x^2-2x+1)*(x^2-2x+1)'=\\ =2(1-x)\sin(1-x)^2\\\\ dy = 2(1-x)\sin(1-x)^2dx$