Proving using rodrigue's formula (a very challenging question)

1. Apr 26, 2014

artisticmath

This is a very challenging question I would like your help guys to solve this question.
Prove (n+1)Pn+1(x)-(2n+1)xPn(x)+nPn-1(x)=0 using Rodriguez's formula

2. Apr 26, 2014

What have you tried so far?

3. Apr 26, 2014

artisticmath

The problem is in differentiating ..I really find it very difficult to differentiate..

4. Apr 26, 2014

HallsofIvy

Staff Emeritus
You still haven't said what you tried. Or are you saying that, because you are "find it very difficult to differentiate", you simply haven't tried at all?

5. Apr 26, 2014

artisticmath

I am making a progress .. I found a formula that allowed me to differentiate (n+1) times, so now am working on finding Pn+1 and Pn-1 by the Rodriguez formula , and then substituting them back in the equation..