Question

Continuous differentiability of functions of one real variable

score 55 · Answer 1 · 2026-04-11 05:52:59

55

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Continuous differentiability of functions of one real variable

Published on 11 Apr 2026 - 5:52

score 601 · Answer 2 · 2026-04-11 04:51:54

601

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How do I evaluate this double integral by changing the order of integration?

Published on 11 Apr 2026 - 4:51

score 374 · Answer 3 · 2026-04-10 17:51:52

374

Views

exponential of second derivative, not positive?

Published on 10 Apr 2026 - 17:51

score 76 · Answer 4 · 2026-04-15 13:02:07

76

Views

If $x$, $y$, and $z$ are any three positive numbers whose sum is a fixed number $s$, show that $xyz\leq(s/3)^3$.

Published on 15 Apr 2026 - 13:02

score 52 · Answer 5 · 2026-04-11 09:40:38

52

Views

Some questions regarding a formula that's supposed to be the integral formula of Gauss and Green.

Published on 11 Apr 2026 - 9:40

score 74 · Answer 6 · 2026-04-15 01:28:39

74

Views

Proof that if $f:\mathbb{R^n}\to \mathbb{R^m}$ is differentiable then it's continuous

Published on 15 Apr 2026 - 1:28

score 5.4k · Answer 7 · 2026-04-17 12:29:16

5.4k

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Find the second degree Taylor polynomial of $f(x,y)=e^{-x^2-y^2}cos(xy)$ at $x_0=0$, $y_0=0$.

Published on 17 Apr 2026 - 12:29

score 311 · Answer 8 · 2026-04-14 05:51:07

311

Views

Why is $\sin(x+y)=c$ not a smooth curve for $c = \pm 1$?

Published on 14 Apr 2026 - 5:51

score 112 · Answer 9 · 2026-04-17 12:13:10

112

Views

Determine the tangent vector at any point $p=(x^1, x^2)$ on the circle $(x^1)^2 +(x^2)^2 = a^2$

Published on 17 Apr 2026 - 12:13

score 978 · Answer 10 · 2026-04-10 16:59:51

978

Views

What is the motivation behind defining tensor product?

Published on 10 Apr 2026 - 16:59

score 55 · Answer 11 · 2026-04-16 20:28:51

55

Views

Integrate $\int_{-a}^{a}\, \int_{0}^{\sqrt{a^2-x^2}} \,(x^2+y^2)\,\text{e}^{x^4+2x^2y^2+y^4} \,\text{d}y \,\text{d}x$ using polar coordinates.

Published on 16 Apr 2026 - 20:28

score 293 · Answer 12 · 2026-05-02 02:27:08

293

Views

Can a spiral have its centroid at the origin?

Published on 02 May 2026 - 2:27

score 76 · Answer 13 · 2026-04-15 16:30:26

76

Views

Calculate the derivative of $f(x)=\int_x^{x^2}\tan(x+y)\,dy$ on the open interval $(0,\frac{\pi}{4})$.

Published on 15 Apr 2026 - 16:30

score 40 · Answer 14 · 2026-04-30 01:10:12

Given $S$ is a $n$-dimensional square symmetric matrix, how to calculate $\frac{\partial tr(\sqrt{SS^T})}{\partial S}$(perhaps by chain rule)?

score 38 · Answer 15 · 2026-04-10 21:59:15

38

Views

MAX,MIN of a 3 variable function : Correctness in writing

Published on 10 Apr 2026 - 21:59

List Question

Continuous differentiability of functions of one real variable

How do I evaluate this double integral by changing the order of integration?

exponential of second derivative, not positive?

If $x$, $y$, and $z$ are any three positive numbers whose sum is a fixed number $s$, show that $xyz\leq(s/3)^3$.

Some questions regarding a formula that's supposed to be the integral formula of Gauss and Green.

Proof that if $f:\mathbb{R^n}\to \mathbb{R^m}$ is differentiable then it's continuous

Find the second degree Taylor polynomial of $f(x,y)=e^{-x^2-y^2}cos(xy)$ at $x_0=0$, $y_0=0$.

Why is $\sin(x+y)=c$ not a smooth curve for $c = \pm 1$?

Determine the tangent vector at any point $p=(x^1, x^2)$ on the circle $(x^1)^2 +(x^2)^2 = a^2$

What is the motivation behind defining tensor product?

Integrate $\int_{-a}^{a}\, \int_{0}^{\sqrt{a^2-x^2}} \,(x^2+y^2)\,\text{e}^{x^4+2x^2y^2+y^4} \,\text{d}y \,\text{d}x$ using polar coordinates.

Can a spiral have its centroid at the origin?

Calculate the derivative of $f(x)=\int_x^{x^2}\tan(x+y)\,dy$ on the open interval $(0,\frac{\pi}{4})$.

Given $S$ is a $n$-dimensional square symmetric matrix, how to calculate $\frac{\partial tr(\sqrt{SS^T})}{\partial S}$(perhaps by chain rule)?

MAX,MIN of a 3 variable function : Correctness in writing

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