Question

What are the saddle points of the function $f(x,y)=x^3+2xy+y^3$?

score 898 · Answer 1 · 2019-02-20 09:49:18

898

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What are the saddle points of the function $f(x,y)=x^3+2xy+y^3$?

Published on 20 Feb 2019 - 9:49

score 31 · Answer 2 · 2019-02-20 18:31:54

31

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What does $\max_{i=1}^k (f_i(x) - q_i)$ mean? Is it a sum?

Published on 20 Feb 2019 - 18:31

score 1.8k · Answer 3 · 2019-02-20 23:18:38

1.8k

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Is there an algebraic way to determine the number of turning points of a polynomial from its factorization?

Published on 20 Feb 2019 - 23:18

score 165 · Answer 4 · 2019-02-21 00:33:40

165

Views

Show that $\forall x>0,\;\frac{1}{x}+x\geq 2$

Published on 21 Feb 2019 - 0:33

score 108 · Answer 5 · 2019-02-22 01:05:25

108

Views

Prove that $\frac{\sin(nx)}{\sin^n(x)}$, for natural $n$, only has minimum values for n odd.

Published on 22 Feb 2019 - 1:05

score 97 · Answer 6 · 2019-02-22 17:42:08

97

Views

Strict convexity of a function in a given domain

Published on 22 Feb 2019 - 17:42

score 835 · Answer 7 · 2026-03-26 13:00:59

835

Views

Greatest volume of sphere inscribed in a cone with given Lateral area

Published on 26 Mar 2026 - 13:00

score 108 · Answer 8 · 2026-03-25 06:31:56

108

Views

Maximum value of expression $a+b+c$

Published on 25 Mar 2026 - 6:31

score 82 · Answer 9 · 2019-02-24 05:08:59

82

Views

How to find the largest rectangular box in the first octant

Published on 24 Feb 2019 - 5:08

score 103 · Answer 10 · 2019-02-25 02:13:02

103

Views

How to find the minimum value of $\dfrac{a_1^2+a_2^2+\dots+a_n^2}{(a_1+a_2+\dots+a_n)^2}$?

Published on 25 Feb 2019 - 2:13

score 2.4k · Answer 11 · 2026-03-27 23:48:15

2.4k

Views

Find shortest distance from point on ellipse to focus of ellipse.

Published on 27 Mar 2026 - 23:48

score 690 · Answer 12 · 2019-02-25 18:57:47

690

Views

Prove $\mathrm{Re}(z)=0$ if $z\in\mathbb{C}$ of maximum modulus such that $\Big|z+\frac{1}{z}\Big|=1$

Published on 25 Feb 2019 - 18:57

score 99 · Answer 13 · 2019-02-25 22:02:30

99

Views

Proof that the function $f(x,y)=3x^4-4x^2y+y^2$ has no relative minimun in any disk

Published on 25 Feb 2019 - 22:02

score 1.6k · Answer 14 · 2026-03-26 18:57:12

1.6k

Views

Maximum possible number of extrema of the function?

Published on 26 Mar 2026 - 18:57

score 25 · Answer 15 · 2019-02-27 13:30:35

25

Views

Minimizer of Perturbed Mean

Published on 27 Feb 2019 - 13:30

List Question

What are the saddle points of the function $f(x,y)=x^3+2xy+y^3$?

What does $\max_{i=1}^k (f_i(x) - q_i)$ mean? Is it a sum?

Is there an algebraic way to determine the number of turning points of a polynomial from its factorization?

Show that $\forall x>0,\;\frac{1}{x}+x\geq 2$

Prove that $\frac{\sin(nx)}{\sin^n(x)}$, for natural $n$, only has minimum values for n odd.

Strict convexity of a function in a given domain

Greatest volume of sphere inscribed in a cone with given Lateral area

Maximum value of expression $a+b+c$

How to find the largest rectangular box in the first octant

How to find the minimum value of $\dfrac{a_1^2+a_2^2+\dots+a_n^2}{(a_1+a_2+\dots+a_n)^2}$?

Find shortest distance from point on ellipse to focus of ellipse.

Prove $\mathrm{Re}(z)=0$ if $z\in\mathbb{C}$ of maximum modulus such that $\Big|z+\frac{1}{z}\Big|=1$

Proof that the function $f(x,y)=3x^4-4x^2y+y^2$ has no relative minimun in any disk

Maximum possible number of extrema of the function?

Minimizer of Perturbed Mean

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