List questions from maxima-minima

Published on 13 Apr 2013 - 12:58

118

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Find the minimum value of $(\sin^{-1}x)^3+(\cos^{-1}x)^3$.

Published on 15 Apr 2013 - 8:55

292

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Finding local extrema of $f(x) = x^2 e^{-x}$

Published on 05 May 2013 - 10:49

5.2k

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Proof of: If $x_0\in \mathbb R^n$ is a local minimum of $f$, then $\nabla f(x_0) = 0$.

Published on 15 May 2013 - 23:02

228

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Find the minimum of $\frac{32a^{3}}{(b+3c)^{3}} + \frac{32b^3}{(a+3c)^{3}} - \frac{\sqrt{a^{2} + b^{2}}}{c}$ for $(a+c)(b+c)=4c^2$

Published on 04 Jul 2013 - 13:28

411

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Maxima/Minima Problem

Published on 06 Apr 2026 - 13:41

116

Views

Extrema of the $\mathbb{R}^4 \rightarrow \mathbb{R}$ function $ f = \sqrt{ (x_i -x_j)^2 +(y_i-y_j)^2 }$

Published on 13 Jul 2013 - 10:14

3.1k

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Absolute extrema of the function $f(x,y)=2xy-x-y$

Published on 18 Jul 2013 - 18:22

314

Views

Board $7\times 7$ problem

Published on 24 Jul 2013 - 22:55

196

Views

How find the of minimum $ab+bc+\frac{\sqrt{2}}2ac$ for $a^2+b^2=4,b^2+c^2=8$

Published on 02 Aug 2013 - 4:51

551

Views

Local Extrema and Global Extrema

Published on 21 Aug 2013 - 15:59

15.1k

Views

Second derivative criteria for maxima and minima.

Published on 31 Aug 2013 - 16:13

250

Views

Evaluation Of Maximum Value Without Calculus

Published on 25 Mar 2026 - 18:52

213

Views

Find $MAX$ and $MIN$ of $P = 2ab+3ac+3bc+\frac{6}{a+b+c}$

Published on 04 Oct 2013 - 15:05

26.5k

Views

Maximum area of a square in a triangle

Published on 29 Mar 2026 - 19:56

List Question

Find the sum of the maximum and minimum values of $|\arcsin x|+|\arccos x| $

Find the minimum value of $(\sin^{-1}x)^3+(\cos^{-1}x)^3$.

Finding local extrema of $f(x) = x^2 e^{-x}$

Proof of: If $x_0\in \mathbb R^n$ is a local minimum of $f$, then $\nabla f(x_0) = 0$.

Find the minimum of $\frac{32a^{3}}{(b+3c)^{3}} + \frac{32b^3}{(a+3c)^{3}} - \frac{\sqrt{a^{2} + b^{2}}}{c}$ for $(a+c)(b+c)=4c^2$

Maxima/Minima Problem

Extrema of the $\mathbb{R}^4 \rightarrow \mathbb{R}$ function $ f = \sqrt{ (x_i -x_j)^2 +(y_i-y_j)^2 }$

Absolute extrema of the function $f(x,y)=2xy-x-y$

Board $7\times 7$ problem

How find the of minimum $ab+bc+\frac{\sqrt{2}}2ac$ for $a^2+b^2=4,b^2+c^2=8$

Local Extrema and Global Extrema

Second derivative criteria for maxima and minima.

Evaluation Of Maximum Value Without Calculus

Find $MAX$ and $MIN$ of $P = 2ab+3ac+3bc+\frac{6}{a+b+c}$

Maximum area of a square in a triangle

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