f(x)=(2-3x)/(x-1)-x^4*корень из(2-x) +3sin(пи/2-2x)

F(x)=(2-3x)/(x-1)-x^4*корень из(2-x) +3sin(пи/2-2x)
F'(x)=[(2-3x)/(x-1)]'+[x^4*(2-x)]'+[3sin(пи/2-2x)]'
[(2-3x)/(x-1)]'=[u/v]'=1/v[u'v-v'u]   u=2-3x  u'=-3   v=x-1   v'=1
[(2-3x)/(x-1)]'=1/x[-3x+3-2-3x]=-1/x[3x+3x-1]

[x^4*(2-x)]'=u'v+v'u   u=x   u'=4x  v=(2-x)  v'=1/2(2-x) 
[x^4*(2-x)]'=4x*(2-x)  +  x/2(2-x)  

[3sin(пи/2-2x)]'=3*(-2)cos(пи/2-2x)=-6sin2x

F'(x)=-1/x[3x+3x-1]+4x*(2-x)  +  x/2(2-x)-6sin2x