Question

Why does a new restriction suddenly appear when finding this potential function using antiderivatives?

score 28 · Answer 1 · 2026-04-09 20:42:26

28

Views

Why does a new restriction suddenly appear when finding this potential function using antiderivatives?

Published on 09 Apr 2026 - 20:42

score 533 · Answer 2 · 2026-04-15 15:39:38

533

Views

If $A$ is convex and $f$ has first partial derivative zero, then $f(x',y) = f(x,y)$ for every $(x',y),(x,y) \in A$?

Published on 15 Apr 2026 - 15:39

score 406 · Answer 3 · 2026-04-11 07:58:06

406

Views

How to compute $\int_H F\cdot n \, dS$ efficiently?

Published on 11 Apr 2026 - 7:58

score 99 · Answer 4 · 2026-03-25 06:24:28

99

Views

Use the implicit function theorem to prove that $f=f^{-1}$.

Published on 25 Mar 2026 - 6:24

score 1.5k · Answer 5 · 2026-03-25 04:41:36

1.5k

Views

Different results after changing the order of integration with constant limits (Failure of Fubini's theorem)

Published on 25 Mar 2026 - 4:41

score 178 · Answer 6 · 2026-04-17 10:19:55

178

Views

Edit: Show that $f$ is differentiable on $\Bbb{R}^n$ and compute $f'$

Published on 17 Apr 2026 - 10:19

score 4.5k · Answer 7 · 2026-04-17 01:20:09

4.5k

Views

Divergence theorem and a hemisphere

Published on 17 Apr 2026 - 1:20

score 164 · Answer 8 · 2026-04-15 04:02:37

164

Views

If $\Omega\subset\mathbb{R}^n$ is convex and $f$ is differentiable, then $f(x)-f(y)\geq f'(y)(x-y),\;\forall \;x,y\in \Omega$

Published on 15 Apr 2026 - 4:02

score 1.1k · Answer 9 · 2026-04-20 11:33:55

1.1k

Views

Derive the gradient of the second order Taylor approximation

Published on 20 Apr 2026 - 11:33

score 36 · Answer 10 · 2026-03-25 11:19:17

36

Views

Show that $\varphi$ is of class $C^{\infty}$ and compute $\varphi'$

Published on 25 Mar 2026 - 11:19

score 309 · Answer 11 · 2026-04-15 05:36:08

309

Views

Transform the differential equation $yu_x(x, y) - xu_y(x, y) = xyu(x, y)$ by introducing new variables $s = x^2+y^2$ and $t = e^{-x^2/2}$

Published on 15 Apr 2026 - 5:36

score 355 · Answer 12 · 2026-05-04 11:08:26

355

Views

Show that $f$ is of class $C^{k}$ and compute $f'$

Published on 04 May 2026 - 11:08

score 52 · Answer 13 · 2026-05-04 11:05:18

52

Views

Question regarding complex differentiability and vector differentiability from $R \rightarrow R^2$

Published on 04 May 2026 - 11:05

score 80 · Answer 14 · 2026-04-15 14:22:04

80

Views

Help with the notation $(x,t)\in \mathbb R^n \times (0,\infty)$

Published on 15 Apr 2026 - 14:22

score 21 · Answer 15 · 2026-04-10 07:46:52

21

Views

How to show two sets with different numbers of degrees of freedom are different?

Published on 10 Apr 2026 - 7:46

List Question

Why does a new restriction suddenly appear when finding this potential function using antiderivatives?

If $A$ is convex and $f$ has first partial derivative zero, then $f(x',y) = f(x,y)$ for every $(x',y),(x,y) \in A$?

How to compute $\int_H F\cdot n \, dS$ efficiently?

Use the implicit function theorem to prove that $f=f^{-1}$.

Different results after changing the order of integration with constant limits (Failure of Fubini's theorem)

Edit: Show that $f$ is differentiable on $\Bbb{R}^n$ and compute $f'$

Divergence theorem and a hemisphere

If $\Omega\subset\mathbb{R}^n$ is convex and $f$ is differentiable, then $f(x)-f(y)\geq f'(y)(x-y),\;\forall \;x,y\in \Omega$

Derive the gradient of the second order Taylor approximation

Show that $\varphi$ is of class $C^{\infty}$ and compute $\varphi'$

Transform the differential equation $yu_x(x, y) - xu_y(x, y) = xyu(x, y)$ by introducing new variables $s = x^2+y^2$ and $t = e^{-x^2/2}$

Show that $f$ is of class $C^{k}$ and compute $f'$

Question regarding complex differentiability and vector differentiability from $R \rightarrow R^2$

Help with the notation $(x,t)\in \mathbb R^n \times (0,\infty)$

How to show two sets with different numbers of degrees of freedom are different?

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