query: differentiability of $|xy|$ at $(0,0)$
positive_passages.docid: 148737
positive_passages.text: Is $|xy|$ differentiable in $(0,0)$?
negative_passages.docid: 69378
negative_passages.text: The derivative of $x!$ and its continuity
negative_passages.docid: 126461
negative_passages.text: Show that $g:I\to\mathbb{R}$ is continuous and $f:(x-x_0)g(x)$ is differentiable
negative_passages.docid: 46923
negative_passages.text: Differentiable Sequences
negative_passages.docid: 62352
negative_passages.text: Proving a scalar function is differentiable at the origin but that its partial derivatives are not continuous at that point.
negative_passages.docid: 30533
negative_passages.text: Showing that this function is infinitely differentiable
negative_passages.docid: 12726
negative_passages.text: Differentiating both sides of a non-differential equation
negative_passages.docid: 77624
negative_passages.text: Characterization of sets of differentiability
negative_passages.docid: 31685
negative_passages.text: Differentiability of $f(x) = x^2 \sin{\frac{1}{x}}$ and $f'$
negative_passages.docid: 135941
negative_passages.text: Derivative of $|x|^\alpha$
negative_passages.docid: 120784
negative_passages.text: Differentiablility over closed intervals
negative_passages.docid: 71260
negative_passages.text: Check differentiability of multivariable functions
negative_passages.docid: 152877
negative_passages.text: Is a monotone differentiable function continuously differentiable?
negative_passages.docid: 2717
negative_passages.text: Help proving existence of an specific $x_0$ for which $f''(x_0)=0$
negative_passages.docid: 147758
negative_passages.text: Differentiable but not continuously differentiable.
negative_passages.docid: 142490
negative_passages.text: Alternative proof for differentiability of inverse function?
negative_passages.docid: 61481
negative_passages.text: Continuously Differentiable Curves in $\mathbb{R}^{d}$ and their Lebesgue Measure