query: Why is the derivative of $e^x$ equal to $e^x$?
positive_passages.docid: 148556
positive_passages.text: Could you explain why $\frac{d}{dx} e^x = e^x$ "intuitively"?
negative_passages.docid: 100004
negative_passages.text: Differentiating $e^x$ from first principles using limits.
negative_passages.docid: 67588
negative_passages.text: Why does $|e^{ix}|^2 = 1$?
negative_passages.docid: 49444
negative_passages.text: Why isn't $e^{2\pi xi}=1$ true for all $x$?
negative_passages.docid: 20280
negative_passages.text: Proving that expression is equivalent to the definition of derivative
negative_passages.docid: 88328
negative_passages.text: Proof of $1+x\leq e^x$ for all x?
negative_passages.docid: 66406
negative_passages.text: How to calculate $f(x)$ in $f(f(x)) = e^x$?
negative_passages.docid: 95684
negative_passages.text: Show that $g'(x)+g(x)-2e^x=0$
negative_passages.docid: 69378
negative_passages.text: The derivative of $x!$ and its continuity
negative_passages.docid: 61144
negative_passages.text: Derivative of $x^{x^{\cdot^{\cdot}}}$?
negative_passages.docid: 150626
negative_passages.text: General formula or a pattern for the $n$th derivatives of $e^{f(x)}$?
negative_passages.docid: 28297
negative_passages.text: derivative of x^x^x... to infinity?
negative_passages.docid: 158681
negative_passages.text: How to show that $e^x$ is differentiable?
negative_passages.docid: 75216
negative_passages.text: What is the derivative of this?
negative_passages.docid: 48332
negative_passages.text: Why does the minimum value of $x^x$ equal $1/e$?
negative_passages.docid: 27862
negative_passages.text: Symbols of derivatives
negative_passages.docid: 88386
negative_passages.text: Derivative of matrix exponential at $0$