query: Would this closed form derivative rule for tetration be correct for $n$ as a nonnegative integer? If so, can it be more concise?
positive_passages.docid: 28096
positive_passages.text: Finding the derivative of $x\uparrow\uparrow n$
negative_passages.docid: 124116
negative_passages.text: What does the notation $\binom{n}{i}$ mean?
negative_passages.docid: 129394
negative_passages.text: understanding $\frac{\partial x}{\partial y}\frac{\partial y}{\partial z}\frac{\partial z}{\partial x}=-1$
negative_passages.docid: 91251
negative_passages.text: $n$th derivative of $e^{ax}\sin(bx+c)$
negative_passages.docid: 100780
negative_passages.text: Deriving upper bound for derivative of analytical function
negative_passages.docid: 10357
negative_passages.text: Do harmonic numbers have a “closed-form” expression?
negative_passages.docid: 9205
negative_passages.text: When do the Freshman's dream product and quotient rules for differentiation hold?
negative_passages.docid: 24478
negative_passages.text: What is the name of this theorem, and are there any caveats?
negative_passages.docid: 136652
negative_passages.text: Closed form expression for the product $\prod\limits_{k=1}^{n}\left(1 - \frac{1}{ak}\right)$
negative_passages.docid: 68752
negative_passages.text: A few questions about infinite derivative.
negative_passages.docid: 116901
negative_passages.text: Monotonicity of $\frac{n}{\sqrt[n]{(n!)}}$
negative_passages.docid: 76889
negative_passages.text: How do I evaluate several n-th derivatives of a function at one point?
negative_passages.docid: 70248
negative_passages.text: Closed-form expression for $\sum_{k=0}^n\binom{n}kk^p$ for integers $n,\,p$
negative_passages.docid: 119907
negative_passages.text: Finding the Derivative of |x| using the Limit Definition
negative_passages.docid: 64608
negative_passages.text: Why does the higher order derivative test work?
negative_passages.docid: 104206
negative_passages.text: How to find the nth derivative?
negative_passages.docid: 83080
negative_passages.text: Question regarding $f(n)=\cot^2\left(\frac\pi n\right)+\cot^2\left(\frac{2\pi}n\right)+\cdots+\cot^2\left(\frac{(n-1)\pi}n\right)$