1)-3x^2+x-1

2)3sin(x^2+2)*2x

3)-1/2x^(-3/2)

4)cosx/sinx^2

5)(3x^3(4-x))/(3-x)^2

6)2x-1/(sinx)^2

1)f'(x)=(-x^3)'+(0,5x^2)'-(x)'-(1)'=-3x^2+0,5*2x-1=-3x^2+x-1

2)f'(x)=(-3cosx)' (x^2+2)+(x^2+2)'(-3cosx)=3sinx(x^2+2)-6xcosx

3)f'(x)=(x^-1)'=-x^-2

4)f'(x)=1*(sinx)'-(1)'(sinx)/sin^2x=cosx/sin^2x

5)f'(x)=(x^4)'(3-x)-(x^4)(3-x)'/(3-x)^2=4x^3(3-x)-(-1)(x^4)/(3-x)^2=12x^3-4x^4+x^4/(3-x)^2=12x^3-3x^4/(3-x)^2=3x^3(4-x)/(3-x)^2

6)