Question

Let $f: [a, b]\rightarrow R$ be differentiable at each point of $[a, b ]$ and $f'(a)=f'(b)$, prove that there's a line passing to $a$ tangent to $f$

score 139 · Answer 1 · 2020-08-22 16:54:38

139

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Let $f: [a, b]\rightarrow R$ be differentiable at each point of $[a, b ]$ and $f'(a)=f'(b)$, prove that there's a line passing to $a$ tangent to $f$

Published on 22 Aug 2020 - 16:54

score 66 · Answer 2 · 2020-08-28 22:01:31

66

Views

How to use the extended version of Weierstrass's theorem?

Published on 28 Aug 2020 - 22:01

score 73 · Answer 3 · 2020-10-18 23:36:32

73

Views

Show that a function from a closed and non-bounded set $A$ to $[0,\infty)$ has max given $\lim_{x\to \infty} f(x)=0$

Published on 18 Oct 2020 - 23:36

score 53 · Answer 4 · 2020-10-28 18:43:45

53

Views

Application of the Extreme Value Theorum

Published on 28 Oct 2020 - 18:43

score 938 · Answer 5 · 2020-10-28 23:09:40

938

Views

Extreme Value Theorem

Published on 28 Oct 2020 - 23:09

score 85 · Answer 6 · 2026-03-25 09:47:10

85

Views

Proof global minimum in two dimensions WITHOUT hessian but based on limit behavior

Published on 25 Mar 2026 - 9:47

score 50 · Answer 7 · 2020-11-17 01:51:11

If f: [2,5] $\rightarrow [4,13]$ is a continuous function prove that there is $c\in [2,5]$ such that $f(c) = 3c-2$

score 176 · Answer 8 · 2026-02-23 20:17:21

176

Views

Converse to extreme value theorem?

Published on 23 Feb 2026 - 20:17

score 312 · Answer 9 · 2021-01-09 08:17:29

312

Views

Extreme values of a multivariable function lying on a helix

Published on 09 Jan 2021 - 8:17

score 247 · Answer 10 · 2021-01-13 16:03:27

247

Views

Extreme value theorem for functions defined on weakly compact sets.

Published on 13 Jan 2021 - 16:03

score 181 · Answer 11 · 2021-01-16 14:04:14

181

Views

Extreme value theorem and half-closed intervals

Published on 16 Jan 2021 - 14:04

score 41 · Answer 12 · 2021-01-20 13:35:14

41

Views

On the number of extremum

Published on 20 Jan 2021 - 13:35

score 44 · Answer 13 · 2026-03-22 06:26:32

44

Views

Why does the image of an interval being unbounded imply there exists a sequence with the image of the sequence greater than n?

Published on 22 Mar 2026 - 6:26

score 80 · Answer 14 · 2026-03-22 07:49:02

80

Views

Find the extrema points of $ f\left(x\right)=\prod_{i=1}^{n}x_{i} $

Published on 22 Mar 2026 - 7:49

score 59 · Answer 15 · 2026-03-22 13:37:21

59

Views

Continuity with $f(x)=f(x+1)$ $\forall x\in \mathbb{R}$. Is there $x \in \mathbb{R}$ with $f(x)=f(x+\sqrt{2})$?

Published on 22 Mar 2026 - 13:37

List Question

Let $f: [a, b]\rightarrow R$ be differentiable at each point of $[a, b ]$ and $f'(a)=f'(b)$, prove that there's a line passing to $a$ tangent to $f$

How to use the extended version of Weierstrass's theorem?

Show that a function from a closed and non-bounded set $A$ to $[0,\infty)$ has max given $\lim_{x\to \infty} f(x)=0$

Application of the Extreme Value Theorum

Extreme Value Theorem

Proof global minimum in two dimensions WITHOUT hessian but based on limit behavior

If f: [2,5] $\rightarrow [4,13]$ is a continuous function prove that there is $c\in [2,5]$ such that $f(c) = 3c-2$

Converse to extreme value theorem?

Extreme values of a multivariable function lying on a helix

Extreme value theorem for functions defined on weakly compact sets.

Extreme value theorem and half-closed intervals

On the number of extremum

Why does the image of an interval being unbounded imply there exists a sequence with the image of the sequence greater than n?

Find the extrema points of $ f\left(x\right)=\prod_{i=1}^{n}x_{i} $

Continuity with $f(x)=f(x+1)$ $\forall x\in \mathbb{R}$. Is there $x \in \mathbb{R}$ with $f(x)=f(x+\sqrt{2})$?

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