query: What is the derivative of $x^{x^{x^{x^{.^{.^{.}}}}}}$
positive_passages.docid: 28297
positive_passages.text: derivative of x^x^x... to infinity?
negative_passages.docid: 91059
negative_passages.text: Why is $\frac{d^n}{dx^n}(y(x))$ the notation for the $n$th derivative of $y(x)$, instead of $\frac{d^n}{d^nx}(y(x))$?
negative_passages.docid: 139216
negative_passages.text: Use the definition of derivative to find $f'(x)$ for $f(x) = x^{1/2}$.
negative_passages.docid: 27738
negative_passages.text: Gradient of $a^T X b$ with respect to $X$
negative_passages.docid: 43956
negative_passages.text: Differentiating $f(x)^{g(x)}$
negative_passages.docid: 112898
negative_passages.text: Derivative of sin(x)/x at $0$ by definition of derivative
negative_passages.docid: 97418
negative_passages.text: Fourier Transform of Derivative
negative_passages.docid: 20904
negative_passages.text: Finding derivative of this integral function.
negative_passages.docid: 62365
negative_passages.text: How to use induction to prove the product rule for higher derivatives?
negative_passages.docid: 124459
negative_passages.text: $n^{th}$ derivative of a tetration function
negative_passages.docid: 119380
negative_passages.text: Clarifying question on meaning of derivative of a linear transformation
negative_passages.docid: 64437
negative_passages.text: Proof by induction (power rule of the derivative)
negative_passages.docid: 139534
negative_passages.text: Derivative of determinant, which is correct?
negative_passages.docid: 27862
negative_passages.text: Symbols of derivatives
negative_passages.docid: 71437
negative_passages.text: How is the derivative of $\textrm{Trace}\left\{ X^T A X B\right\}$ with respect to $X$ equal to $AXB + A^TXB^T$?
negative_passages.docid: 102279
negative_passages.text: Derivative of Quadratic Form
negative_passages.docid: 89185
negative_passages.text: The notation for partial derivatives