Question

Is $t \mapsto \frac{\partial^2 f}{\partial x_1 \partial x_2}(x,t)$ continuous if $f \in C^{\infty}(\mathbb{R}^2 \times [0;+\infty[,\mathbb{R})$?

score 17 · Answer 1 · 2026-04-16 00:44:34

Is $t \mapsto \frac{\partial^2 f}{\partial x_1 \partial x_2}(x,t)$ continuous if $f \in C^{\infty}(\mathbb{R}^2 \times [0;+\infty[,\mathbb{R})$?

score 35 · Answer 2 · 2026-04-17 07:52:48

35

Views

Find all tangent lines to the graph of $\frac{1}{\sqrt {x^2 + y^2}}$ that are parallel to the line x = y = z

Published on 17 Apr 2026 - 7:52

score 28 · Answer 3 · 2026-04-09 07:48:52

28

Views

Convert $\partial t$ into $\partial x$ in a heat equation.

Published on 09 Apr 2026 - 7:48

score 65 · Answer 4 · 2026-04-12 07:38:43

65

Views

Transforming partial derivatives to polar coordinates

Published on 12 Apr 2026 - 7:38

score 26 · Answer 5 · 2026-04-13 21:58:37

26

Views

Maximum likelihood estimator in both sides of the equation

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score 34 · Answer 6 · 2026-04-09 22:40:12

34

Views

Product Rule for multidimensional functions

Published on 09 Apr 2026 - 22:40

score 60 · Answer 7 · 2026-04-10 09:50:07

60

Views

Solving partial differential equation using separation of variables

Published on 10 Apr 2026 - 9:50

score 40 · Answer 8 · 2026-03-25 14:47:04

40

Views

Derivative of 2-norm of a matrix.

Published on 25 Mar 2026 - 14:47

score 74 · Answer 9 · 2026-04-16 19:48:19

74

Views

Minimizing action integral

Published on 16 Apr 2026 - 19:48

score 25 · Answer 10 · 2026-04-14 23:51:52

25

Views

Easy Derivation for the 2nd order Approximation of a two variable function seems wrong

Published on 14 Apr 2026 - 23:51

score 16 · Answer 11 · 2026-04-21 11:17:19

16

Views

Symmetry of the partial derivative of a diffeomorphic function

Published on 21 Apr 2026 - 11:17

score 87 · Answer 12 · 2026-04-16 09:12:33

87

Views

Is the function $(x^2+y^2)\sin{(\frac{1}{x^2+y^2})}$ differentiable at the point $(0,0)$?

Published on 16 Apr 2026 - 9:12

score 69 · Answer 13 · 2026-04-14 12:07:36

69

Views

Total derivative of f(x, g(x, y)) and its approximation

Published on 14 Apr 2026 - 12:07

score 62 · Answer 14 · 2026-04-13 04:39:23

62

Views

How do you find the double partial derivative of a quotient inside of a trigonometric function?

Published on 13 Apr 2026 - 4:39

score 58 · Answer 15 · 2026-04-12 11:52:51

58

Views

Is $\frac{\partial}{\partial{t}}(\nabla\times H) = \nabla \times \frac{\partial H}{\partial t}$?

Published on 12 Apr 2026 - 11:52

List Question

Is $t \mapsto \frac{\partial^2 f}{\partial x_1 \partial x_2}(x,t)$ continuous if $f \in C^{\infty}(\mathbb{R}^2 \times [0;+\infty[,\mathbb{R})$?

Find all tangent lines to the graph of $\frac{1}{\sqrt {x^2 + y^2}}$ that are parallel to the line x = y = z

Convert $\partial t$ into $\partial x$ in a heat equation.

Transforming partial derivatives to polar coordinates

Maximum likelihood estimator in both sides of the equation

Product Rule for multidimensional functions

Solving partial differential equation using separation of variables

Derivative of 2-norm of a matrix.

Minimizing action integral

Easy Derivation for the 2nd order Approximation of a two variable function seems wrong

Symmetry of the partial derivative of a diffeomorphic function

Is the function $(x^2+y^2)\sin{(\frac{1}{x^2+y^2})}$ differentiable at the point $(0,0)$?

Total derivative of f(x, g(x, y)) and its approximation

How do you find the double partial derivative of a quotient inside of a trigonometric function?

Is $\frac{\partial}{\partial{t}}(\nabla\times H) = \nabla \times \frac{\partial H}{\partial t}$?

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