Question

Differentiability on a function from directional derivatives

score 1.1k · Answer 1 · 2026-04-12 01:33:20

1.1k

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Differentiability on a function from directional derivatives

Published on 12 Apr 2026 - 1:33

score 863 · Answer 2 · 2026-04-11 23:49:05

863

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How to find a global minimum for $\frac{1}{2}x^tQx-b^tx$

Published on 11 Apr 2026 - 23:49

score 31 · Answer 3 · 2026-05-04 23:00:23

31

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Question regarding minimization and orthogonality

Published on 04 May 2026 - 23:00

score 118 · Answer 4 · 2026-04-16 07:27:43

118

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If $\langle f(t,y),y\rangle\leq \alpha(t)\left(1+\Vert y \Vert^2\right),\forall\, t\geq 0,\,y\in\Bbb{R}^n$ then $x'(t)$ has a global solution

Published on 16 Apr 2026 - 7:27

score 126 · Answer 5 · 2026-04-17 13:03:06

126

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Limit as $(x,y,z)\to (0,0,0)$ of $f(x,y,z) = \dfrac{xy+yz+xz}{\sqrt{x^2+y^2+z^2}}$

Published on 17 Apr 2026 - 13:03

score 2.2k · Answer 6 · 2026-04-17 05:37:26

2.2k

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Showing $\lim_{(x,y) \to (0,0)} xy \log(x^2+y^2) = 0$

Published on 17 Apr 2026 - 5:37

score 128 · Answer 7 · 2026-04-12 11:30:45

128

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Determining the number of critical points of a PDE.

Published on 12 Apr 2026 - 11:30

score 553 · Answer 8 · 2026-04-15 00:47:25

553

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Finding limit of $\frac{x^2y^2}{x^3+y^3}$ as $(x,y)\to (0,0)$

Published on 15 Apr 2026 - 0:47

score 1.2k · Answer 9 · 2026-04-13 16:05:52

1.2k

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What are the gradient, divergence and curl of the three-dimensional delta function?

Published on 13 Apr 2026 - 16:05

score 42 · Answer 10 · 2026-04-22 06:25:17

42

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Minima and maxima of $f(x,y)=e^{\frac{x}{2+y}}$ on $K=[-1,1]\times[-1,1]$

Published on 22 Apr 2026 - 6:25

score 111 · Answer 11 · 2026-04-15 00:40:50

111

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Product of $\mathcal{C}^k$ multivariable functions is $\mathcal{C}^k$

Published on 15 Apr 2026 - 0:40

score 63 · Answer 12 · 2026-04-15 05:58:24

63

Views

I'm confused on how the chain rule is applied in a problem I'm working in book

Published on 15 Apr 2026 - 5:58

score 832 · Answer 13 · 2026-04-12 16:37:53

832

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Partial derivatives of $f$ exist, but only $n-1$ of them are continuous, implies differentiability

Published on 12 Apr 2026 - 16:37

score 278 · Answer 14 · 2026-04-16 03:46:08

278

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Using $\epsilon$-$\delta$ approach, prove that $\lim_{(x,y)\rightarrow (1,3)}\frac{x}{y}=\frac{1}{3} $

Published on 16 Apr 2026 - 3:46

score 122 · Answer 15 · 2026-04-10 18:49:54

122

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How many partials need to be continuous to imply differentiability?

Published on 10 Apr 2026 - 18:49

List Question

Differentiability on a function from directional derivatives

How to find a global minimum for $\frac{1}{2}x^tQx-b^tx$

Question regarding minimization and orthogonality

If $\langle f(t,y),y\rangle\leq \alpha(t)\left(1+\Vert y \Vert^2\right),\forall\, t\geq 0,\,y\in\Bbb{R}^n$ then $x'(t)$ has a global solution

Limit as $(x,y,z)\to (0,0,0)$ of $f(x,y,z) = \dfrac{xy+yz+xz}{\sqrt{x^2+y^2+z^2}}$

Showing $\lim_{(x,y) \to (0,0)} xy \log(x^2+y^2) = 0$

Determining the number of critical points of a PDE.

Finding limit of $\frac{x^2y^2}{x^3+y^3}$ as $(x,y)\to (0,0)$

What are the gradient, divergence and curl of the three-dimensional delta function?

Minima and maxima of $f(x,y)=e^{\frac{x}{2+y}}$ on $K=[-1,1]\times[-1,1]$

Product of $\mathcal{C}^k$ multivariable functions is $\mathcal{C}^k$

I'm confused on how the chain rule is applied in a problem I'm working in book

Partial derivatives of $f$ exist, but only $n-1$ of them are continuous, implies differentiability

Using $\epsilon$-$\delta$ approach, prove that $\lim_{(x,y)\rightarrow (1,3)}\frac{x}{y}=\frac{1}{3} $

How many partials need to be continuous to imply differentiability?

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