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5:56
YouTube
Math Quest Club
Can You Solve for 𝑥 Where (𝑥!)′ = π · 𝑥!?
Can you solve for x where the derivative of x! equals π · x!? In this video, we extend factorial into a continuous function using the Gamma function, take its derivative, and reduce the problem to the digamma equation ψ(x + 1) = π From there, we graph the function, find the positive solution, and uncover the surprising fact that this ...
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