List questions from maxima-minima

Published on 19 Nov 2017 - 9:24

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Then determine the relative and absolute extrema

Published on 19 Nov 2017 - 13:43

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Critical points for $f(x)=\sin(x-\pi/3)\sin(x+\pi/3)$

Published on 19 Nov 2017 - 14:27

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Given $f'(x)=(x-a)^{2n}(x-b)^{2m+1}$,to investigate for extreme values at $x=a$ and $x=b$

Published on 19 Nov 2017 - 15:02

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Proving a local minimum is a global minimum.

Published on 08 Apr 2026 - 14:16

55

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Is there a simple or systematic method of solving the max-min problem?

Published on 19 Nov 2017 - 16:32

182

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Range of $m$ for $f(x)=\sin^3x-m\sin x$ to have one maximum and one minimum on $(-\pi/2,\pi/2)$

Published on 19 Nov 2017 - 16:47

53

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Extremum of $\frac{ax+by+c}{\sqrt{(1+x^2+y^2)}}$

Published on 19 Nov 2017 - 20:53

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Minimize using simplex method with mixed constraints

Published on 25 Mar 2026 - 10:58

73

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Function is bounded from below if sum of partial derivatives is positive

Published on 20 Nov 2017 - 17:59

56

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Area of Designated Triangle

Published on 28 Mar 2026 - 4:23

4.7k

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Find the point on the line 6x+5y+5=0 which is closest to the point (1,-5)

Published on 21 Nov 2017 - 5:30

85

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Find maximum decay rate, given $y(x)=5xe^{-2x} \text{kg/year} $

Published on 21 Nov 2017 - 5:57

171

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Lagrange Multiplier Problem - min attained, max not attained - why?

Published on 07 Apr 2026 - 21:18

761

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Lagrange Multiplier Problem with trivial gradient of $g$

Published on 07 Apr 2026 - 21:20

List Question

Is this question on absolute minimum / maximum incorrectly posed?

Then determine the relative and absolute extrema

Critical points for $f(x)=\sin(x-\pi/3)\sin(x+\pi/3)$

Given $f'(x)=(x-a)^{2n}(x-b)^{2m+1}$,to investigate for extreme values at $x=a$ and $x=b$

Proving a local minimum is a global minimum.

Is there a simple or systematic method of solving the max-min problem?

Range of $m$ for $f(x)=\sin^3x-m\sin x$ to have one maximum and one minimum on $(-\pi/2,\pi/2)$

Extremum of $\frac{ax+by+c}{\sqrt{(1+x^2+y^2)}}$

Minimize using simplex method with mixed constraints

Function is bounded from below if sum of partial derivatives is positive

Area of Designated Triangle

Find the point on the line 6x+5y+5=0 which is closest to the point (1,-5)

Find maximum decay rate, given $y(x)=5xe^{-2x} \text{kg/year} $

Lagrange Multiplier Problem - min attained, max not attained - why?

Lagrange Multiplier Problem with trivial gradient of $g$

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