1. y'=5cosx-3sinx y'=5cosπ/4-3sinπ/4=2√2/2=√2
2. y'=2sinxcosx-2cosxsinx=0
3. y=cosx+0.5sin2x y'=-sinx+0.5*cos2x*2=cos2x
4. y'=-1/sin²x+36x²/π² x=π/6 y'=-4+9/π²
5. y'=-sinx-4x/π x=π/2 y'=-1-2π/π=-1-2=-3
6. y'=u'v+v'u u=x²-2x+1=(x-1)² u'=2x-2 v=cosx v'=-sinx
y'=2(x-1)(cosx)+(-sinx)(x-1)²
7. y'=-2sinx+√π³/2√x³ x=π y'=0+√π³/2√π³=0.5