Question

Extremum of a monotonic function combination

score 163 · Answer 1 · 2017-01-29 06:31:02

163

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Extremum of a monotonic function combination

Published on 29 Jan 2017 - 6:31

score 302 · Answer 2 · 2017-01-30 07:53:05

302

Views

Find the points of local maximum and minimun of the function: $\sin^{-1}(2x\sqrt{1-x^2}), ~x\in (-1,1)$

Published on 30 Jan 2017 - 7:53

score 68 · Answer 3 · 2017-01-30 08:30:53

68

Views

Find the extreme values of the function $2^x-x$ in its domain.

Published on 30 Jan 2017 - 8:30

score 271 · Answer 4 · 2017-01-30 22:58:45

271

Views

Find ${{\theta }_{n}}$ for minimum $\sum\limits_{n=1}^{N}{\sin {{\theta }_{n}}}$ if $\sum\limits_{n=1}^{N}{\cos {{\theta }_{n}}}=A$

Published on 30 Jan 2017 - 22:58

score 64 · Answer 5 · 2017-02-01 14:39:47

64

Views

Finding points of local Maxima and local Minima

Published on 01 Feb 2017 - 14:39

score 742 · Answer 6 · 2026-03-31 04:00:12

742

Views

Determine extreme values of bcx+cay+abz subject to conditions xyz=abc where a>0, b>0,c>0

Published on 31 Mar 2026 - 4:00

score 3.3k · Answer 7 · 2017-02-02 03:06:33

3.3k

Views

Transforming a General Minimization Problem to a Maximization

Published on 02 Feb 2017 - 3:06

score 120 · Answer 8 · 2026-03-29 02:30:31

120

Views

maximum value of expression $6bc+6abc+2ab+3ac$

Published on 29 Mar 2026 - 2:30

score 1.3k · Answer 9 · 2026-04-01 01:35:15

1.3k

Views

Max and min of a function with absolute values

Published on 01 Apr 2026 - 1:35

score 11.6k · Answer 10 · 2017-02-03 22:53:24

11.6k

Views

find its saddle point 3y cos(x)?

Published on 03 Feb 2017 - 22:53

score 321 · Answer 11 · 2017-02-04 03:35:32

321

Views

How can the max value of $f(1,y)=y^{2}+y+5$ be $(1,1)?$ Shouldn't it be imaginary?

Published on 04 Feb 2017 - 3:35

score 94 · Answer 12 · 2017-02-04 04:38:18

94

Views

Interesting question on maxima

Published on 04 Feb 2017 - 4:38

score 21.1k · Answer 13 · 2026-03-29 05:43:29

21.1k

Views

Finding maxima and minima of $f(x,y)= x^4 + y^4 - 2x^2 - 2y^2 + 4xy$

Published on 29 Mar 2026 - 5:43

score 72 · Answer 14 · 2026-03-28 22:36:52

72

Views

Proof that geometric mean of two variables with range from $0$ to $1$ maximizes when both approach 1.

Published on 28 Mar 2026 - 22:36

score 54 · Answer 15 · 2026-04-04 09:39:58

54

Views

Proof $\max_{x\in[0,1],y\in[0,1]}\sqrt{xy} $ when $[x=1,y=1]$

Published on 04 Apr 2026 - 9:39

List Question

Extremum of a monotonic function combination

Find the points of local maximum and minimun of the function: $\sin^{-1}(2x\sqrt{1-x^2}), ~x\in (-1,1)$

Find the extreme values of the function $2^x-x$ in its domain.

Find ${{\theta }_{n}}$ for minimum $\sum\limits_{n=1}^{N}{\sin {{\theta }_{n}}}$ if $\sum\limits_{n=1}^{N}{\cos {{\theta }_{n}}}=A$

Finding points of local Maxima and local Minima

Determine extreme values of bcx+cay+abz subject to conditions xyz=abc where a>0, b>0,c>0

Transforming a General Minimization Problem to a Maximization

maximum value of expression $6bc+6abc+2ab+3ac$

Max and min of a function with absolute values

find its saddle point 3y cos(x)?

How can the max value of $f(1,y)=y^{2}+y+5$ be $(1,1)?$ Shouldn't it be imaginary?

Interesting question on maxima

Finding maxima and minima of $f(x,y)= x^4 + y^4 - 2x^2 - 2y^2 + 4xy$

Proof that geometric mean of two variables with range from $0$ to $1$ maximizes when both approach 1.

Proof $\max_{x\in[0,1],y\in[0,1]}\sqrt{xy} $ when $[x=1,y=1]$

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