query: $n$-th derivative of $\frac{e^x−1}{x}$
positive_passages.docid: 151788
positive_passages.text: nth derivative of $\frac{e^x−1}{x}$ (both taylor series and finite sum)
negative_passages.docid: 56936
negative_passages.text: $\frac{\partial f_i}{x_j}=\frac{\partial f_j}{x_i}\implies(f_1,\ldots,f_n)$ is a gradient
negative_passages.docid: 43593
negative_passages.text: half-derivative of $x^2$
negative_passages.docid: 49408
negative_passages.text: Proof of the derivative of ln(x)
negative_passages.docid: 158520
negative_passages.text: Derivative of Fourier transform: $F[f]'=F[-ixf(x)]$
negative_passages.docid: 135941
negative_passages.text: Derivative of $|x|^\alpha$
negative_passages.docid: 116520
negative_passages.text: formula for the $n$th derivative of $e^{-1/x^2}$
negative_passages.docid: 62365
negative_passages.text: How to use induction to prove the product rule for higher derivatives?
negative_passages.docid: 99795
negative_passages.text: Derivative of piece-wise function given by $x\sin\frac1x$ at $x=0$
negative_passages.docid: 158610
negative_passages.text: Why is the differentiation of $e^x$ is $e^x$?
negative_passages.docid: 77142
negative_passages.text: Determining convergence of $\frac{n}{e^n}$
negative_passages.docid: 18201
negative_passages.text: Why isn't the derivative of $e^x$ equal to $xe^{(x-1)}$?
negative_passages.docid: 83517
negative_passages.text: Taylor series of Infinitely differentiable function with nonnegative derivatives
negative_passages.docid: 31685
negative_passages.text: Differentiability of $f(x) = x^2 \sin{\frac{1}{x}}$ and $f'$
negative_passages.docid: 100780
negative_passages.text: Deriving upper bound for derivative of analytical function
negative_passages.docid: 133917
negative_passages.text: $100$-th derivative of the function $f(x)=e^{x}\cos(x)$
negative_passages.docid: 132957
negative_passages.text: Prove that the derivative of $x^w$ is $w x^{w-1}$ for real $w$