Deriving the Wein displacement law

AI Thread Summary
The discussion centers on the challenges of deriving the Wien displacement law, particularly regarding the variable temperature (T) and its implications on the calculations. The original poster expresses uncertainty about their approach and suspects an error in computing the derivative dI/dλ. A specific mathematical expression is referenced, indicating confusion about the differentiation process. Clarification is sought on how to correctly approach the problem. The conversation highlights the complexities involved in the derivation and the need for guidance in resolving the issues presented.
Fluxthroughme
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I am not really sure where to go from here, since T varies. I am guessing this means I am approaching the problem incorrectly, but in that case, I have no idea how to do it. Any help/guidance would be appreciated.
 
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Looks like an error in computing dI/dλ.

d/dx eu = eu du/dx.

If u = a/x, d/dx eu = (-a/x2)ea/x, not (a)ea/x.
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