Question

Find the minimum of $x^3+\frac{1}{x^2}$ for $x>0$

score 230 · Answer 1 · 2026-03-28 12:14:29

230

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Find the minimum of $x^3+\frac{1}{x^2}$ for $x>0$

Published on 28 Mar 2026 - 12:14

score 481 · Answer 2 · 2026-02-23 07:43:23

481

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Is local minimum/maximum necessarily global when it's the only stationary point of a continuous & differentiable function?

Published on 23 Feb 2026 - 7:43

score 87 · Answer 3 · 2020-06-22 15:13:29

87

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Deduce that $ e < \left({1+ \frac 1n}\right)^{n+\frac12} < e^{1+\frac {1}{2n (n+1)}} $ from the result obtained.

Published on 22 Jun 2020 - 15:13

score 119 · Answer 4 · 2020-06-23 23:18:34

119

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Prove multivariable function has no extrema if $|\alpha| > 1$

Published on 23 Jun 2020 - 23:18

score 47 · Answer 5 · 2020-06-24 07:08:26

47

Views

How to calculate $\max\left\{\,\dfrac{1}{x}+\max\left\{\,\dfrac{2x}{x+y}, 1\right\} \right\} $

Published on 24 Jun 2020 - 7:08

score 840 · Answer 6 · 2020-06-24 14:37:22

840

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UC Berkeley Integral Problem: Show that $\int_0^{2\pi} \frac{\min(\sin x, \cos x)}{\max(e^{\sin x},e^{\cos x})}\ {\rm d}x = -4\sinh(1/{\sqrt2})$.

Published on 24 Jun 2020 - 14:37

score 858 · Answer 7 · 2026-03-29 20:55:01

858

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Lagrange Multipliers to find the maximum and minimum values

Published on 29 Mar 2026 - 20:55

score 346 · Answer 8 · 2026-03-30 07:07:48

346

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If $ 3a+2b+c=7$ then find minimum value of $ a^2+b^2+c^2$

Published on 30 Mar 2026 - 7:07

score 1.3k · Answer 9 · 2020-06-27 08:13:16

1.3k

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Maximum volume of cylinder obtained by rotating a rectangle

Published on 27 Jun 2020 - 8:13

score 196 · Answer 10 · 2026-03-29 22:41:16

196

Views

Finding the local extrema for a curve of intersection of two surfaces and Lagrange Multipliers

Published on 29 Mar 2026 - 22:41

score 273 · Answer 11 · 2020-06-29 15:59:37

273

Views

$f(x) = \cos|x| - 2ax + b$ increases for all $x$. Find the maximum value of $2a + 1$

Published on 29 Jun 2020 - 15:59

score 1.4k · Answer 12 · 2026-03-25 18:49:09

1.4k

Views

What is the general way of calculating maxima and minima of a given cubic function?

Published on 25 Mar 2026 - 18:49

score 763 · Answer 13 · 2026-03-25 17:26:32

763

Views

Understanding the Minimum Principle in Complex Analysis

Published on 25 Mar 2026 - 17:26

score 161 · Answer 14 · 2026-03-29 14:55:34

161

Views

Problem for gradient and extremum points.

Published on 29 Mar 2026 - 14:55

score 75 · Answer 15 · 2026-03-29 22:42:20

75

Views

With $\vec{x}=(x_1,\ldots,x_n)$, find all the min and max of $\prod_{i=1}^{n} x_{i}^i$ given that $||\vec{x}||=1$

Published on 29 Mar 2026 - 22:42

List Question

Find the minimum of $x^3+\frac{1}{x^2}$ for $x>0$

Is local minimum/maximum necessarily global when it's the only stationary point of a continuous & differentiable function?

Deduce that $ e < \left({1+ \frac 1n}\right)^{n+\frac12} < e^{1+\frac {1}{2n (n+1)}} $ from the result obtained.

Prove multivariable function has no extrema if $|\alpha| > 1$

How to calculate $\max\left\{\,\dfrac{1}{x}+\max\left\{\,\dfrac{2x}{x+y}, 1\right\} \right\} $

UC Berkeley Integral Problem: Show that $\int_0^{2\pi} \frac{\min(\sin x, \cos x)}{\max(e^{\sin x},e^{\cos x})}\ {\rm d}x = -4\sinh(1/{\sqrt2})$.

Lagrange Multipliers to find the maximum and minimum values

If $ 3a+2b+c=7$ then find minimum value of $ a^2+b^2+c^2$

Maximum volume of cylinder obtained by rotating a rectangle

Finding the local extrema for a curve of intersection of two surfaces and Lagrange Multipliers

$f(x) = \cos|x| - 2ax + b$ increases for all $x$. Find the maximum value of $2a + 1$

What is the general way of calculating maxima and minima of a given cubic function?

Understanding the Minimum Principle in Complex Analysis

Problem for gradient and extremum points.

With $\vec{x}=(x_1,\ldots,x_n)$, find all the min and max of $\prod_{i=1}^{n} x_{i}^i$ given that $||\vec{x}||=1$

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