The function is 

                  (Apply first derivative) 

                (The derivative of )

                          (The derivative of )

----->(1)              

               (Apply second derivative)

              (The derivative of )

                 (The derivative of )

----->(2)     

      (Apply third derivative)

            (The constant multiply rule)

                (from (1))

    (Apply fourth derivative)

         (The constant multiply rule)

             (from (2))

We know

                         (Multiply each side by )

                            (But )

                         (Add to each side)

Therefore the first derivative

The second  derivative

The third derivative

The fourth  derivative .