Question

Найдите производную!!!
y=sinx(1-cosx)

Answer 1

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

Answer 2

y' = (sinx)'(1-cosx) + sinx(1-cosx)' = cosx(1-cosx) + sinx*sinx = 

=cosx - cos²x + sin²x = cosx - cos2x