Question

Suggestion for a functional equation $f'\left(\frac{a}{x}\right)=\frac{x}{f(x)}$ where $f:(0,\infty)\to(0,\infty)$ is differentiable

score 123 · Answer 1 · 2026-04-14 01:09:16

123

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Suggestion for a functional equation $f'\left(\frac{a}{x}\right)=\frac{x}{f(x)}$ where $f:(0,\infty)\to(0,\infty)$ is differentiable

Published on 14 Apr 2026 - 1:09

score 276 · Answer 2 · 2026-04-15 18:24:05

276

Views

$\lim\limits_{t \to \infty} f'(t) = 0 \impliedby \lim\limits_{t \to \infty} f(t)=c $ is not true!

Published on 15 Apr 2026 - 18:24

score 119 · Answer 3 · 2026-04-16 09:32:59

119

Views

Does $\frac{\dot y}{\dot x}=\frac{dy}{dx}$ always work?

Published on 16 Apr 2026 - 9:32

score 50 · Answer 4 · 2026-04-16 10:38:34

50

Views

If $f = f(x,y)$ and $C$ is constant, then is this true: $\frac{\partial f}{\partial (Cx)}=\frac{1}{C}\frac{\partial f}{\partial x}$?

Published on 16 Apr 2026 - 10:38

score 256 · Answer 5 · 2026-04-09 03:29:38

256

Views

How to ensure when the derivative approaches zero, the integral approaches a constant?

Published on 09 Apr 2026 - 3:29

score 176 · Answer 6 · 2026-04-14 10:59:40

176

Views

Using derivative of function to plot slope lines iteratively

Published on 14 Apr 2026 - 10:59

score 222 · Answer 7 · 2026-04-09 11:27:41

222

Views

First Few Terms in a Maclaurin Series

Published on 09 Apr 2026 - 11:27

score 226 · Answer 8 · 2026-05-11 01:58:54

226

Views

Gradient of quadratic form

Published on 11 May 2026 - 1:58

score 2.4k · Answer 9 · 2026-04-10 20:18:48

2.4k

Views

Relation between roots of function and roots of its derivative

Published on 10 Apr 2026 - 20:18

score 47 · Answer 10 · 2026-04-13 19:56:46

47

Views

A question related to the mean value theorem

Published on 13 Apr 2026 - 19:56

score 75 · Answer 11 · 2026-04-15 14:44:25

75

Views

On differentiating $F(x)=\ln(2x)$

Published on 15 Apr 2026 - 14:44

score 49 · Answer 12 · 2026-04-13 22:51:40

49

Views

Show that the function $f$ is strictly bounded by an arbitrary number $A$

Published on 13 Apr 2026 - 22:51

score 55 · Answer 13 · 2026-04-12 08:04:19

55

Views

Rate of change $\frac{dV}{dt}$

Published on 12 Apr 2026 - 8:04

score 274 · Answer 14 · 2026-04-29 13:28:55

274

Views

Prove the inequality $\ln {(1+\frac{1}{x})}> \frac{2}{2x+1}$

Published on 29 Apr 2026 - 13:28

score 587 · Answer 15 · 2026-05-11 02:10:10

587

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What does a proof show that the covariant derivative is a $(1,1)$ tensor?

Published on 11 May 2026 - 2:10

List Question

Suggestion for a functional equation $f'\left(\frac{a}{x}\right)=\frac{x}{f(x)}$ where $f:(0,\infty)\to(0,\infty)$ is differentiable

$\lim\limits_{t \to \infty} f'(t) = 0 \impliedby \lim\limits_{t \to \infty} f(t)=c $ is not true!

Does $\frac{\dot y}{\dot x}=\frac{dy}{dx}$ always work?

If $f = f(x,y)$ and $C$ is constant, then is this true: $\frac{\partial f}{\partial (Cx)}=\frac{1}{C}\frac{\partial f}{\partial x}$?

How to ensure when the derivative approaches zero, the integral approaches a constant?

Using derivative of function to plot slope lines iteratively

First Few Terms in a Maclaurin Series

Gradient of quadratic form

Relation between roots of function and roots of its derivative

A question related to the mean value theorem

On differentiating $F(x)=\ln(2x)$

Show that the function $f$ is strictly bounded by an arbitrary number $A$

Rate of change $\frac{dV}{dt}$

Prove the inequality $\ln {(1+\frac{1}{x})}> \frac{2}{2x+1}$

What does a proof show that the covariant derivative is a $(1,1)$ tensor?

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