1.
(2/5-1/15)/(-4¹/₅)=((2*3-1)15)/(-21/5)=(1/3)/(-21/5)=-1*5/(21*3)=-5/63.
4.
sin2x=1/2
2x=π/6+2πn x=π/12+πn
2x=2π/3+2πn x=π/3+πn.
5.
7x-2x²<0<br>x(7-2x)<0<br>-∞______-_____0______+______3,5______-______+∞
x∈(-∞;0)U(3,5;+∞),
6.
y`=(12x²-4x³+5)`=24x-12x²=12x*(2-x)
y`=(x³⁰*eˣ)`=30x²⁹*eˣ+x³⁰*eˣ=eˣ*x²⁹*(x+30)
y`=(tgx/cosx)`=(sinx/cos²x)=(cosx*cos²x+sinx*2cosx*sinx)/cos⁴x=
=cosx(cos²x+2sin²x)/cos⁴x=(cos²x+2sin²x)/cos³x=(1+2tg²x)/cosx.
7.
a) f(x)=4-x³
F(x)=4x-x⁴/4=x(4-x³)/4
b) f(x)=10x-sinx
F(x)=10x²/2+cosx=5x²+cosx.