query: Why does $( \operatorname e^x)' = \operatorname e^x?$
positive_passages.docid: 18201
positive_passages.text: Why isn't the derivative of $e^x$ equal to $xe^{(x-1)}$?
negative_passages.docid: 17809
negative_passages.text: How come such different methods result in the same number, $e$?
negative_passages.docid: 107240
negative_passages.text: Exponential Operator in C++
negative_passages.docid: 102138
negative_passages.text: Why does $\sqrt{x^2}$ seem to equal $x$ and not $|x|$ when you multiply the exponents?
negative_passages.docid: 118778
negative_passages.text: What's the inverse operation of exponents?
negative_passages.docid: 121109
negative_passages.text: Why does the Taylor expansion of $e^x$ satisfy exponential properties?
negative_passages.docid: 38636
negative_passages.text: A basic question about exponentiation: when is $a^{xy}=(a^x)^y$?
negative_passages.docid: 158610
negative_passages.text: Why is the differentiation of $e^x$ is $e^x$?
negative_passages.docid: 57348
negative_passages.text: What is the difference between the dot (.) operator and -> in C++?
negative_passages.docid: 81375
negative_passages.text: Why does $V(I(S))=\overline{S}$?
negative_passages.docid: 78066
negative_passages.text: Why can't you overload the '.' operator in C++?
negative_passages.docid: 4237
negative_passages.text: Namespaces and Operator Overloading in C++
negative_passages.docid: 151347
negative_passages.text: Why do operators belonging to different Hilbert spaces commute?
negative_passages.docid: 145497
negative_passages.text: What does the  operator do in python?
negative_passages.docid: 49816
negative_passages.text: Javascript: operator overloading
negative_passages.docid: 58741
negative_passages.text: Operator Exponential $e^A e^B = e^{A+B}$
negative_passages.docid: 89057
negative_passages.text: How does one properly define the derivative of one operator-valued function?