(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

At what wavelength is u(lambda) a maximum for a star with a surface temperature of 50,000 K?

2. Relevant equations

Planck's law

u(lambda)=8(pi)hc/(lambda^5*(e^(hc/kTlambda)-1)

3. The attempt at a solution

I think the maximum is where the derivative of the function u(lambda)=0, but the derivative is too messy to solve in terms of lambda so I can't find the wavelength. So I think I'm way off as far as how to solve it. Any help would be appreciated.

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# Finding maximum in Planck's law

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