List questions from maxima-minima

Published on 12 May 2020 - 7:56

88

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$f(x)=x^4+bx^3+cx^2+dx+e$ where $b,c,d,e$ are real numbers and $3b^2<8c$. Show that the function $f(x)$ has a unique minimum.

Published on 12 May 2020 - 20:35

422

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Does $f$ have a critical point if $f(x, y) \to +\infty$ on all horizontal lines and $f(x, y) \to -\infty$ on all vertical lines?

Published on 13 May 2020 - 9:40

27

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Simple Question on Maximizing Point on linear two-variable function

Published on 13 May 2020 - 23:54

183

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Minimum value of $(x + 2y)(y + 2z)(xz + 1)$ when $xyz=1$

Published on 15 May 2020 - 3:05

119

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$f(x)=f^{\prime}(x)+f^{\prime\prime }(x)$ such that $f(a)=f(b)=0$ then prove that $f=0$

Published on 15 May 2020 - 4:15

24

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Criteria for the sum of two middle values in a linear ordering to be a maximum?

Published on 01 Apr 2026 - 4:11

173

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Max of difference and difference of max

Published on 15 May 2020 - 22:48

141

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Is a smooth function convex near a strict minimum?

Published on 16 May 2020 - 7:56

630

Views

How do I find the maximum of a function with a non-zero derivative?

Published on 16 May 2020 - 17:09

91

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Find min,max value of $P=2x-y$

Published on 02 Apr 2026 - 15:13

2k

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Absolute minimum and maximum of $f(x,y,z)=x^4+y^4+z^4-4xyz$

Published on 29 Mar 2026 - 17:45

48

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How do I solve the following problem

Published on 19 May 2020 - 1:54

299

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Find the maximum and minimum value of $f(x)$

Published on 30 Mar 2026 - 15:13

138

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Find local extrema of of the following multivariable function

Published on 21 May 2020 - 15:04

List Question

if $x^2+y^2=1$, find the maximum value of $2x^3+y^3$

$f(x)=x^4+bx^3+cx^2+dx+e$ where $b,c,d,e$ are real numbers and $3b^2<8c$. Show that the function $f(x)$ has a unique minimum.

Does $f$ have a critical point if $f(x, y) \to +\infty$ on all horizontal lines and $f(x, y) \to -\infty$ on all vertical lines?

Simple Question on Maximizing Point on linear two-variable function

Minimum value of $(x + 2y)(y + 2z)(xz + 1)$ when $xyz=1$

$f(x)=f^{\prime}(x)+f^{\prime\prime }(x)$ such that $f(a)=f(b)=0$ then prove that $f=0$

Criteria for the sum of two middle values in a linear ordering to be a maximum?

Max of difference and difference of max

Is a smooth function convex near a strict minimum?

How do I find the maximum of a function with a non-zero derivative?

Find min,max value of $P=2x-y$

Absolute minimum and maximum of $f(x,y,z)=x^4+y^4+z^4-4xyz$

How do I solve the following problem

Find the maximum and minimum value of $f(x)$

Find local extrema of of the following multivariable function

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