How Do You Solve the Second Derivative of a Potential Function in Physics?

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Homework Help Overview

The discussion revolves around finding the second derivative of a potential function in a physics context, specifically the function \(\Psi = Axe^{-kx}\), where \(A\) and \(k\) are constants.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the process of taking derivatives, with some questioning the method of differentiation and the application of rules such as the product rule and chain rule. There is also uncertainty regarding the nature of the problem, with one participant mentioning a lack of a differential equation.

Discussion Status

Participants are exploring different interpretations of the differentiation process, with some providing insights into the necessary rules for differentiation. There is no explicit consensus, but guidance on the correct approach to differentiation has been suggested.

Contextual Notes

Some participants express confusion about the differentiation process and the relevance of differential equations, indicating a potential gap in understanding the foundational concepts involved.

cpamieta
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Homework Statement


Well this is a physics problem, need find the potential function



Homework Equations


[itex]\Psi[/itex] =Axe-kx A and k are constants
I need to find d2 [itex]\Psi[/itex]/dx2


The Attempt at a Solution


I thought u would just take the derivative two times
but just d[itex]\Psi[/itex]/dx = Ae-kx-kAxe-kx
Would i do something like this?
http://tutorial.math.lamar.edu/Classes/DE/Linear.aspx
thanks
 
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What's the problem with just differentiating it again?
 
i forgot how you do a differential equation, i have the solutions. I want to know how you do the dΨ/dx
i thought it would just be dΨ/dx= -A/ke-kx Its been a long summer lol
 
You don't have a differential equation. You're simply differentiating a function twice.

For this particular function, you need to use the product rule and chain rule, and you need to know how to differentiate a polynomial and an exponential.
 
o ok thxs the wolfan alpha thing said it was when i typed it in. It also gave somthing different
 

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