Question

Weird property of $f(x) + f(\sqrt{1-x^2})$ on the interval [0,1]

score 78 · Answer 1 · 2026-04-15 11:58:12

78

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Weird property of $f(x) + f(\sqrt{1-x^2})$ on the interval [0,1]

Published on 15 Apr 2026 - 11:58

score 45 · Answer 2 · 2026-04-16 16:25:14

45

Views

Find radius that minimizes the surface of the solid

Published on 16 Apr 2026 - 16:25

score 40 · Answer 3 · 2026-04-22 11:00:36

40

Views

Maximising Property

Published on 22 Apr 2026 - 11:00

score 79 · Answer 4 · 2026-04-15 19:11:32

79

Views

What kind of curve should I choose to satisfy conditions for $f'(x_0), f(x_0), f(x_1), f'(x_1)$ and monotonically increasing in $x_0-x_1$?

Published on 15 Apr 2026 - 19:11

score 1.4k · Answer 5 · 2026-04-14 10:03:06

1.4k

Views

How to find the minimum value of $f(x)=x^TAx+b^Tx+c$?

Published on 14 Apr 2026 - 10:03

score 55 · Answer 6 · 2026-04-14 15:10:55

55

Views

If $c$ is a local extreme but not a strict local extreme of a continuous $f$, then does there exist $X$ such that $x \in X$ and $f(X)=f(x)$?

Published on 14 Apr 2026 - 15:10

score 87 · Answer 7 · 2026-04-13 04:16:45

87

Views

Can we say that the point $(-3,2)$ is the local minimum?

Published on 13 Apr 2026 - 4:16

score 47 · Answer 8 · 2026-04-13 14:14:24

47

Views

Minima of a function without derivation

Published on 13 Apr 2026 - 14:14

score 136 · Answer 9 · 2026-04-11 04:12:54

136

Views

Why do the solutions to the derivatives of polynomials have the same x value as their peaks and valleys?

Published on 11 Apr 2026 - 4:12

score 143 · Answer 10 · 2026-04-13 10:41:50

143

Views

Is there a known equation for max or min of a set?

Published on 13 Apr 2026 - 10:41

score 61 · Answer 11 · 2026-04-10 02:04:05

61

Views

Can a smooth probability density function on $\mathbb{R}^n$ have no local maxima?

Published on 10 Apr 2026 - 2:04

score 180 · Answer 12 · 2026-04-17 06:33:32

180

Views

Function maximized by $\left\{\left\lfloor\frac np\right\rfloor,\dots,\left\lfloor\frac{n+p-j}p\right\rfloor\right\}$

Published on 17 Apr 2026 - 6:33

score 241 · Answer 13 · 2026-04-15 02:45:46

241

Views

Creating Bézier curves with a maximum curvature

Published on 15 Apr 2026 - 2:45

score 49 · Answer 14 · 2026-04-17 09:36:55

49

Views

Maximum value of $3^x+5^x-9^x+15^x-25^x$

Published on 17 Apr 2026 - 9:36

score 1k · Answer 15 · 2026-03-26 04:34:40

1k

Views

$\frac{\max(1,xy)}{y} = x$: Did I just create a fractal?

Published on 26 Mar 2026 - 4:34

List Question

Weird property of $f(x) + f(\sqrt{1-x^2})$ on the interval [0,1]

Find radius that minimizes the surface of the solid

Maximising Property

What kind of curve should I choose to satisfy conditions for $f'(x_0), f(x_0), f(x_1), f'(x_1)$ and monotonically increasing in $x_0-x_1$?

How to find the minimum value of $f(x)=x^TAx+b^Tx+c$?

If $c$ is a local extreme but not a strict local extreme of a continuous $f$, then does there exist $X$ such that $x \in X$ and $f(X)=f(x)$?

Can we say that the point $(-3,2)$ is the local minimum?

Minima of a function without derivation

Why do the solutions to the derivatives of polynomials have the same x value as their peaks and valleys?

Is there a known equation for max or min of a set?

Can a smooth probability density function on $\mathbb{R}^n$ have no local maxima?

Function maximized by $\left\{\left\lfloor\frac np\right\rfloor,\dots,\left\lfloor\frac{n+p-j}p\right\rfloor\right\}$

Creating Bézier curves with a maximum curvature

Maximum value of $3^x+5^x-9^x+15^x-25^x$

$\frac{\max(1,xy)}{y} = x$: Did I just create a fractal?

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