Find the second order derivation of y 3 tan 1x2 y xe 4x
     Find the second - order derivation of  y  =  3 tan  - 1(x2)  y  =  xe - 4x  y  =  x2 sin x 
  
  Solution
a) dy/dx = 3*2x/(1+x^4) d^2y/dx^2 = 6*(1+x^4) -6x*4x^3 /((1+x^4)^2) b) dy/dx =e^(-4x) -4xe^(-4x) d^2y/dx^2 =-4e^(-4x) -4e^(-4x) +16xe^(-4x) =-8e^(-4x) +16xe^(-4x) c)dy/dx =2xsinx + x^(2) cosx d^2y/dx^2 =2sinx +2xcosx +2xcosx -x^2 sinx =2sinx +4xcosx -x^2 sinx
