(1)y'=5x^4+12x^2+2
y''=20x^3+24x
(2)y'=3e^(3x-2)
y''=9e^(3x-2)
(4)y'=(cost-sint)e^(-t)
y''=-(cost-sint)e^(-t)+(-sint-cost)e^(-t)=-2cost*e^(-t)
(5)y^2=1-x^2
2yy'=-2x
yy'=-x
yy''+y'^2=-1
y''=(-1-y'^2)/y=(-1-x^2/y^2)/y=-1/√(1-x^2)-x^2/(1-x^2)^(3/2)
(7)y'=sec^2x
y''=2secx*(secxtanx)=2tanx*sec^2x
(8)1/y=1+x^2
-y'/y^2=2x
y'=-2xy^2
y''=-2y^2-4xyy'=-2y^2-4xy*(-2xy^2)=-2y^2+8x^2*y^3=-2/(x^2+1)+8(x^2)/(x^2+1)^3*