Difference for summation in maple

Question

When calculate the differential respect to $x$ with Maple, I got this result.

$$\frac{d^4x^\lambda}{dx^4} = \frac{x^\lambda\cdot \lambda\cdot(\lambda-1)\cdot(\lambda-2)\cdot(\lambda-3)}{x^4}$$

Is there any way to get the right answer in Maple? (The power of $x$ must be $\lambda-4$)

Answer 1

The answer you see is correct. It's just not in the form you desire.

You can use Maple to modify the form, and there are several ways to accomplish that.

res := factor( diff( x^t, x$4 ) );

                         t                          
                        x  t (t - 1) (t - 2) (t - 3)
                 res := ----------------------------
                                      4             
                                     x              

combine( res );

                                            (t - 4)
                 t (t - 2) (t - 1) (t - 3) x       


combine( res, power );

                                            (t - 4)
                 t (t - 2) (t - 1) (t - 3) x       


simplify( res );

                                            (t - 4)
                 t (t - 2) (t - 1) (t - 3) x       

simplify( res, power );

                                            (t - 4)
                 t (t - 2) (t - 1) (t - 3) x