Y=e^2x*sin3x;x=3t/1+t^3 y=3t^2/1+t^3 dy/dx;d^2/dx^2

1) (y)\' = (e^2x * sin(3x)) = 2 * e^2x * sin(2x) + e^2x * 2cos(2x)

   (y)\'\' =  (2 * e^2x * sin(2x) + e^2x * 2cos(2x))\' = 4 * e^2x * sin(2x) + 2 * e^2x * 2cos(2x) + 2 * e^2x * cos(2x) + e^2x * (-2sin(2x)

2) (x)\' = 3t^2 / (1 + t^3) = (6t * (1 + t^3) - 3t^2 * 3t^2) / (1 + t^3)^2

(x)\" =  ((6t * (1 + t^3) - 3t^2 * 3t^2)\' * (1 + t^3) -  (6t * (1 + t^3) - 3t^2 * 3t^2) * (1 + t^3)\') / (1 + t^2)^4 = (6 +12t^2 -12t^3) * (1 + t^3) - (6t + 6t^ - 9t^3) * 3 *t^2.