Question

Maxima and minima of $f(x)=\sin x+\cos x+\tan x+\arcsin x+\arccos x+\arctan x$

score 1.2k · Answer 1 · 2026-03-29 19:14:35

1.2k

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Maxima and minima of $f(x)=\sin x+\cos x+\tan x+\arcsin x+\arccos x+\arctan x$

Published on 29 Mar 2026 - 19:14

score 120 · Answer 2 · 2016-09-03 04:32:25

120

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Minimize $\max(\sum_{i \in A}\log x_i, \sum_{i \in B} \frac{1}{x_i}\log \frac{1}{x_i})$ for $x_1,x_2, \dots, x_n$

Published on 03 Sep 2016 - 4:32

score 164 · Answer 3 · 2016-09-04 20:50:35

164

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Is my method for proving certain types of multivariable inequalities correct?

Published on 04 Sep 2016 - 20:50

score 448 · Answer 4 · 2026-02-23 04:50:06

448

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Find the optimal value that minimize a function

Published on 23 Feb 2026 - 4:50

score 676 · Answer 5 · 2016-09-07 19:36:21

676

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Set of values of $a$ for which function always increases

Published on 07 Sep 2016 - 19:36

score 826 · Answer 6 · 2016-09-08 06:48:44

826

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Maximum value of combined sinusoids

Published on 08 Sep 2016 - 6:48

score 49 · Answer 7 · 2016-09-08 20:39:07

49

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Upper bounds for $n^{1/p} p$

Published on 08 Sep 2016 - 20:39

score 45 · Answer 8 · 2016-09-09 06:24:39

45

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When one can say $f(a)\leq (1-\delta) f(b) \Rightarrow a\leq (1-\epsilon) b $?

Published on 09 Sep 2016 - 6:24

score 56 · Answer 9 · 2016-09-10 11:38:09

56

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Is $f(a)\leq (1-\delta) f(\frac{1}{\sqrt{C}}) \Rightarrow a\leq \frac{1- \epsilon}{\sqrt{C}} $ for $f(x)=\frac{1}{2} x- \frac{C}{6}x^{3}$?

Published on 10 Sep 2016 - 11:38

score 379 · Answer 10 · 2026-03-26 06:20:20

379

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Monge-Ampere equation and maximum principle

Published on 26 Mar 2026 - 6:20

score 167 · Answer 11 · 2016-09-15 04:32:36

167

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Minium distance of curve from given point

Published on 15 Sep 2016 - 4:32

score 227 · Answer 12 · 2016-09-15 08:19:31

227

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Problem 7.2 9 of Velleman's How to prove it (Big O of a countable set of functions)

Published on 15 Sep 2016 - 8:19

score 50 · Answer 13 · 2016-09-15 16:54:54

50

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Does minimality of a function with respect to paths imply local minima?

Published on 15 Sep 2016 - 16:54

score 3.1k · Answer 14 · 2016-09-16 20:38:40

3.1k

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Let $f(a) = \frac{13+a}{3a+7}$ where $a$ is restricted to positive integers. What is the maximum value of $f(a)$?

Published on 16 Sep 2016 - 20:38

score 2.9k · Answer 15 · 2016-09-17 00:30:39

2.9k

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Let $r$, $s$, and $t$ be the roots of the equation $x^3 - 2x + 1 = 0$ in some order. What is the maximal value of $r^3 - s- t$?

Published on 17 Sep 2016 - 0:30

List Question

Maxima and minima of $f(x)=\sin x+\cos x+\tan x+\arcsin x+\arccos x+\arctan x$

Minimize $\max(\sum_{i \in A}\log x_i, \sum_{i \in B} \frac{1}{x_i}\log \frac{1}{x_i})$ for $x_1,x_2, \dots, x_n$

Is my method for proving certain types of multivariable inequalities correct?

Find the optimal value that minimize a function

Set of values of $a$ for which function always increases

Maximum value of combined sinusoids

Upper bounds for $n^{1/p} p$

When one can say $f(a)\leq (1-\delta) f(b) \Rightarrow a\leq (1-\epsilon) b $?

Is $f(a)\leq (1-\delta) f(\frac{1}{\sqrt{C}}) \Rightarrow a\leq \frac{1- \epsilon}{\sqrt{C}} $ for $f(x)=\frac{1}{2} x- \frac{C}{6}x^{3}$?

Monge-Ampere equation and maximum principle

Minium distance of curve from given point

Problem 7.2 9 of Velleman's How to prove it (Big O of a countable set of functions)

Does minimality of a function with respect to paths imply local minima?

Let $f(a) = \frac{13+a}{3a+7}$ where $a$ is restricted to positive integers. What is the maximum value of $f(a)$?

Let $r$, $s$, and $t$ be the roots of the equation $x^3 - 2x + 1 = 0$ in some order. What is the maximal value of $r^3 - s- t$?

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