f(x)= sinx*(cosx-1)f(x) =x^2 * ctgxf(x)= cosx(1+sinx) f(x)=x^2 * tgx Найти производные

Question

f(x)= sinx*(cosx-1)
f(x) =x^2 * ctgx
f(x)= cosx(1+sinx)

f(x)=x^2 * tgx
Найти производные

Answer 1

1) = cosx*(cosx-1)+sinx*(-sinx)= cos^2 x-cosx- sin^2 x= cos2x-cosx

2) = 2x*ctgx - x^2/sin^2 x

3) = -sinx*(1+sinx) + cosx*cosx= -sinx - sin^2 x + cos^2 x= cos2x - sinx

4) = 2x*tgx+ x^2/cos^2 x