1. f`(x)=(2x³+6x²+18x-1)`=6x²+12x+18=6*(x²+2x+3).
2. lim(x→3) (x²-9)/(2x²-8x+6)=lim(x→3) (x²-9)`/(2x²-8x+6)`=
=lim(x→3)(2x/(4x-8))=2*3/(4*3-8)=6/4=1,5.
3. ∫₋₃¹ (4x²+x-5)dx=((4/3)*x³+x²/2-5x) I₋₃¹=
=(4/3)*1³+1²/2-5*1-((4/3)*(-3)³+(-3)²/2-5*(-3)=
=4/3+1/2-5-(-36+4¹/₂+15)=-3¹/₆+16¹/₂=13¹/₃.
4. y`=(tg4x)`=(sin4x/cos4x)`=((sin4x)`*cos4x-sin4x*(cos4x)`)/cos²4x=
=(4cos²4x+4sin²4x)/cos²4x=4(sin²4x+cos²4x)/cos²4x=4/cos²4x=4sec²4x.