Объяснение:
1) y=(x³+2)*(2x-1)
y'=(x³+2)'*(2x-1)+(x³+2)*(2x-1)'=3x²*(2x-1)+(x³+2)*2=
=6x³-3x²+2x³+4=8x³-3x²+4.
2) y=(3-x²)/(4+2x)
y'=((3-x²)/(4+2x))'=((3-x²)'*(4+2x)-(3-x²)*(4+2x)')/(4+2x)²=
=(-2x*(4+2x)-(3-x²)*2)/(4+2x)²=(-8x-4x²-6+2x²)/(4+2x)²=
=(-2x²-8x-6)/(4+2x)²=-2*(x²+4x+6)/(4*(x+2)²)=-(x²+4x+3)/(2*(x+2)²).
3) y=sinx/x
y'=(sinx/x)'=(sinx)'*x-sinx*x'/x²=(cosx*x-sinx)/x².
