(4x^(1/2)+4x^(-1/2)+3x^2)`=4*(1/2)x^(-1/2)+4*(-1/2)x^(-3/2)+6x=
= [b](2/sqrt(x))-2/sqrt(x^3))+6x[/b]
б)
(x^3tgx*e^(2x))=(x^3tgx)`*e^(2x)+(x^3tgx)*(e^(2x))`=
=((x^3)`*tgx+x^3*(tgx)`)*e^(2x)+(x^3tgx)*e^(2x)*(2x)`=
= [b]([/b]3x^2*tgx+(x^3/cos^2x)+2x^3tgx [b])[/b]*e^(2x)
в)
((sin^2x)`*(x^3+1)-sin^2x*(x^3+1)`)/(x^3+1)^2=
=(2sinx*cosx(x^3+1)-(sin^2x)*3x^2)/(x^3+1)^2=
= [b](x^3sin2x+sin2x-6x^2sin^2x)/(x^3+1)^2[/b]