1. 1) y(x)=5x^2 +3x-e^x+lnx
y'=5*2x+3-e^x+1/x-; y'=10x+3-e^x+1/x
2)y(x)=2cos(3x+1)
y'=-2sin(3x+1) * (3x+1)'=-2*3sin(3x+1)=-6sin)3x+1)
2. y'=((4x^2+2) /(x-1))'=(8x(x-1) - (4x^2 +2)) /(x-1^2=(8x^2-8x-4x^2-2) /(x-1)^2=
=(4x^2-8x-2) /(x-1)^2
y' (10)=(4*100 -80-2)/(10-1)^2=318:81=3 75/81
3. 1) интеграл 4x^3+cosx-1/x^3)dx=(3x^4)/4 +sinx-(x^(-2) /(-2))+c