1y'=-24x^2-24xy'=6x^2+6xy'=-x^3/8+3x/2=(-x^3/8)'+(3x/2)'=-3x^2/8+3/22f(x)=(2x^2+1)(1+x^3) x(0)=2f'(x)=(2x^2+1)'*(1+x^3)+(2x^2+1)*(1+x^3)'=4x(1+x^3)+3x^2(2x^2+1)f'(x(0))=4*2(1+2^3)+3*2^2(2*2^2+1)=8*9+12*9=72+108=1804y=3x^5-12x^2+6x+2 x(0)=-1y(0)=3*(-1)^5-12*(-1)^2+6*(-1)+2=-3-12-6+2=-19y'=15x^4-24x+6y'(-1)=15*(-1)^4-24*(-1)+6=15+24+6=45y(кас) =y(0)+y'(x(0))*(x-x(0))y(кас) =-19+45(x-(-1))=-19+45x+45=45x+26