$$y=\frac{m^x e^{-m}}{x!}$$ Where $m\in\mathbb{R}^+$. How can I differentiate it? I want to find the maximum THROUGH CALCULUS.
How can I differentiate this function (A continuous Poisson distribution)?
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calculus
derivatives
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0what is the variable? – 2017-01-09
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0check out http://math.stackexchange.com/questions/300526/derivative-of-a-factorial – 2017-01-09
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0if this corresponds to the probabilities $\Bbb P(X=x)$ where $X$ has a Poisson distribution with parameter $m$, then the expression is only defined for $x\in \Bbb N$, so differentiation won't help you finding the maximum. – 2017-01-09