2) y′(x)=(4⋅sin(3⋅x))′=4⋅(sin(3⋅x))′=4⋅cos(3⋅x)⋅(3⋅x)′=4⋅cos(3⋅x)⋅3=12⋅cos(3⋅x)
3) y'(x)=((2x-1)/(3-x))'=(2*(3-x)-(2x-1)(-1))/(3-x)^2=5/(3-x)^2
6) y'(x)=(2⋅x+1)′=(2⋅x)′=2
7) y'(x)=(x-1/x)'=1-(-1/
)=1+1/
5) y'(x)=(4x^3+2x^4−x^5)′=(4x^3)′+(2x^4)′−5x^4=12x^2+8x^3−5x^4