The Derivative of x! is Not What You Think
6:59
YouTubeMath Quest Club
The Derivative of x! is Not What You Think
The derivative of x! sounds impossible… until you realize factorial can be extended to the real (and complex) numbers using the Gamma function: x! = Γ(x+1). In this video, we build the “Gamma machine,” show how factorial becomes a smooth curve, and then compute its slope using the digamma function: d/dx (x!) = x! · ψ(x+1). Along the ...
71.9K views3 months ago
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