Question

When is a local minimum a global minimum over a closed interval

score 582 · Answer 1 · 2026-04-09 19:10:54

582

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When is a local minimum a global minimum over a closed interval

Published on 09 Apr 2026 - 19:10

score 45 · Answer 2 · 2026-04-12 21:52:10

45

Views

Density of set of zeroes

Published on 12 Apr 2026 - 21:52

score 70 · Answer 3 · 2026-03-25 19:12:04

70

Views

Find the largest $t$ such that for all positive $x, y, z$ the following inequality is satisfied

Published on 25 Mar 2026 - 19:12

score 89 · Answer 4 · 2026-04-15 03:49:05

89

Views

What's the trick to finding the minimum/maximum values of problems like $f(x) = |x + 1| - |x - 2| + |2x + 1|$

Published on 15 Apr 2026 - 3:49

score 90 · Answer 5 · 2026-04-16 09:13:50

90

Views

What are the minimum and maximum of $f(x) = x^6 - 5x^4 + 5x^2 - 1$?

Published on 16 Apr 2026 - 9:13

score 305 · Answer 6 · 2026-04-16 12:42:38

305

Views

Hottest and coldest points on a plate given by $T =2x^2−3y^2−2x+10$

Published on 16 Apr 2026 - 12:42

score 85 · Answer 7 · 2026-04-11 16:10:45

85

Views

Extrema of a piecewise sinusoidal function

Published on 11 Apr 2026 - 16:10

score 66 · Answer 8 · 2026-04-17 08:31:20

66

Views

How $b>a \lor a \leq 0 \implies \max⁡(b,0)-\max⁡(\min⁡(a,b),0) \geq 0$?

Published on 17 Apr 2026 - 8:31

score 87 · Answer 9 · 2026-04-07 21:48:28

87

Views

About the minimum of the Gamma function on $(0,1)$

Published on 07 Apr 2026 - 21:48

score 93 · Answer 10 · 2026-04-16 12:38:01

93

Views

$x$ and $y$ are real numbers such that $y = |x - 2| - |2x - 12| + |x - 8|$. What is the least possible value of $y$?

Published on 16 Apr 2026 - 12:38

score 419 · Answer 11 · 2026-04-10 20:24:12

419

Views

Find the maximum and minimum values of this function.

Published on 10 Apr 2026 - 20:24

score 81 · Answer 12 · 2026-04-16 13:14:12

81

Views

Can a simple analytical expression for the maximum value of $6 \cos \phi - \cos^2 \phi -8 \sin \phi$ be found?

Published on 16 Apr 2026 - 13:14

score 259 · Answer 13 · 2026-04-14 19:29:37

259

Views

Finding absolute extrema in a region

Published on 14 Apr 2026 - 19:29

score 24 · Answer 14 · 2026-04-13 09:11:58

24

Views

define max function when arguments and operators are given, and you have to decide only where to put braces

Published on 13 Apr 2026 - 9:11

score 78 · Answer 15 · 2026-03-25 11:27:17

78

Views

Let $f\colon \mathbb{R} \rightarrow \mathbb{R}$ such that $f''(x)\geq a$ for all $x \in \mathbb{R}$. Show that $f$ has an absolute minimum.

Published on 25 Mar 2026 - 11:27

List Question

When is a local minimum a global minimum over a closed interval

Density of set of zeroes

Find the largest $t$ such that for all positive $x, y, z$ the following inequality is satisfied

What's the trick to finding the minimum/maximum values of problems like $f(x) = |x + 1| - |x - 2| + |2x + 1|$

What are the minimum and maximum of $f(x) = x^6 - 5x^4 + 5x^2 - 1$?

Hottest and coldest points on a plate given by $T =2x^2−3y^2−2x+10$

Extrema of a piecewise sinusoidal function

How $b>a \lor a \leq 0 \implies \max⁡(b,0)-\max⁡(\min⁡(a,b),0) \geq 0$?

About the minimum of the Gamma function on $(0,1)$

$x$ and $y$ are real numbers such that $y = |x - 2| - |2x - 12| + |x - 8|$. What is the least possible value of $y$?

Find the maximum and minimum values of this function.

Can a simple analytical expression for the maximum value of $6 \cos \phi - \cos^2 \phi -8 \sin \phi$ be found?

Finding absolute extrema in a region

define max function when arguments and operators are given, and you have to decide only where to put braces

Let $f\colon \mathbb{R} \rightarrow \mathbb{R}$ such that $f''(x)\geq a$ for all $x \in \mathbb{R}$. Show that $f$ has an absolute minimum.

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