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

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In summary, the participants are discussing a challenging question involving the use of Rodriguez's formula to prove a mathematical equation. The person asking for help expresses difficulty in differentiating, while the other person questions if they have even tried. The person seeking help mentions making progress by using a formula to differentiate multiple times and working on finding the remaining terms by using the Rodriguez formula.
  • #1
artisticmath
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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
 
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  • #2
What have you tried so far?
 
  • #3
The problem is in differentiating ..I really find it very difficult to differentiate..
 
  • #4
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
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..
 

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

What is Rodrigue's formula?

Rodrigue's formula is a mathematical formula used to solve for the roots of a polynomial equation. It is also known as the method of undetermined coefficients.

How is Rodrigue's formula used in proving?

Rodrigue's formula can be used in proving by providing a systematic method for solving polynomial equations, which can then be used to prove certain mathematical statements or theorems.

Is proving using Rodrigue's formula difficult?

Proving using Rodrigue's formula can be challenging as it involves advanced mathematical concepts and requires a thorough understanding of polynomial equations and their roots.

What makes proving using Rodrigue's formula challenging?

The complexity of polynomial equations and their roots, as well as the need for precise calculations and rigorous logical reasoning, can make proving using Rodrigue's formula a challenging task.

Are there any tips for successfully proving using Rodrigue's formula?

To successfully prove using Rodrigue's formula, it is important to have a solid understanding of polynomial equations and their properties, as well as to approach the problem systematically and carefully. It may also be helpful to seek assistance from a mentor or colleague with expertise in this area.

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