Question

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

Answer 1

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