query: How $x^2$ increases by $x+1/x$?
positive_passages.docid: 147173
positive_passages.text: How $x^2$ increases by $x+\frac{1}{x}$?
negative_passages.docid: 73099
negative_passages.text: Why is $d(x^2)= 2xdx$?
negative_passages.docid: 15205
negative_passages.text: Proving that the series 1 + ... + $1 / \sqrt{x}$ < $2 \sqrt{x}$
negative_passages.docid: 16264
negative_passages.text: Why does $x$ divided by zero not equal $x$?
negative_passages.docid: 71736
negative_passages.text: I found this odd relationship, $x^2 = \sum_\limits{k = 0}^{x-1} (2k + 1)$.
negative_passages.docid: 90896
negative_passages.text: proof of inequality $e^x\le x+e^{x^2}$
negative_passages.docid: 48026
negative_passages.text: What's the difference between X = X++; vs X++;?
negative_passages.docid: 149576
negative_passages.text: $x(a^{1/x}-1)$ is decreasing
negative_passages.docid: 9156
negative_passages.text: Can someone explain this: 0.2 + 0.1 = 0.30000000000000004?
negative_passages.docid: 27898
negative_passages.text: Difference between $\sqrt{x^2}$ and $(\sqrt{x})^2$
negative_passages.docid: 67608
negative_passages.text: Integration of $1/(x^2+x\sqrt{x})$
negative_passages.docid: 96554
negative_passages.text: Why is $x^0 = 1$ except when $x = 0$?
negative_passages.docid: 85525
negative_passages.text: Prove that $x^3+x+1$ splits in $Z_2[x]/(x^3+x+1)$
negative_passages.docid: 15821
negative_passages.text: $\ln(x^2)$ vs $2\ln x$
negative_passages.docid: 6310
negative_passages.text: How to prove that exponential grows faster than polynomial?
negative_passages.docid: 101792
negative_passages.text: By expanding $e^x$ into a series prove the following inequality
negative_passages.docid: 44233
negative_passages.text: How to prove this inequality $ x + \frac{1}{x} \geq 2 $