Question

Is there a function such as the derivative of its inverse is the inverse of its derivative?

score 141 · Answer 1 · 2018-07-29 10:40:06

141

Views

Is there a function such as the derivative of its inverse is the inverse of its derivative?

Published on 29 Jul 2018 - 10:40

score 46 · Answer 2 · 2026-03-25 11:13:37

46

Views

How to find the conditional distribution of an estimator given a prior

Published on 25 Mar 2026 - 11:13

score 439 · Answer 3 · 2018-07-30 17:36:15

439

Views

Find the natural number $a$ for which $\sum^n_{k=1}f(a+k)=16(2^n-1)$, given that $f(x+y)=f(x)\,f(y)$.

Published on 30 Jul 2018 - 17:36

score 190 · Answer 4 · 2026-03-24 23:07:18

190

Views

Is the Schröder Equation valid for higher dimensional iterated maps?

Published on 24 Mar 2026 - 23:07

score 861 · Answer 5 · 2026-03-25 16:03:20

861

Views

Which functions satisfy $f^n(x) = f(x)^n$ for some $n \ge 2$?

Published on 25 Mar 2026 - 16:03

score 147 · Answer 6 · 2018-08-04 06:47:52

147

Views

Determining all $f : \Bbb R \to\Bbb R$ satisfying $f\bigl(f(x)f(y)\bigr)+f(x+y)=f(xy)$

Published on 04 Aug 2018 - 6:47

score 2.4k · Answer 7 · 2018-08-04 10:21:33

2.4k

Views

The functional equation $f(xy)=f(x)f(y)$

Published on 04 Aug 2018 - 10:21

score 73 · Answer 8 · 2018-08-05 20:44:21

73

Views

Non-continuous additive map without AC(Axiom of choice)

Published on 05 Aug 2018 - 20:44

score 301 · Answer 9 · 2026-03-25 17:26:00

301

Views

A function satisfying $f \left ( \frac 1 {f(x)} \right ) = x$

Published on 25 Mar 2026 - 17:26

score 307 · Answer 10 · 2026-03-24 20:37:50

307

Views

Find $f(x)$ satisfying $f(f(x))=x^x$

Published on 24 Mar 2026 - 20:37

score 50 · Answer 11 · 2018-08-08 14:07:29

50

Views

Proof verification of an exercise involving a functional equation

Published on 08 Aug 2018 - 14:07

score 259 · Answer 12 · 2018-08-10 15:23:05

259

Views

How to find $ f(x)$ if $f(1-f(x))=x$ for all $x$ $\in \mathbb{R}$

Published on 10 Aug 2018 - 15:23

score 723 · Answer 13 · 2018-08-11 18:56:44

723

Views

Functional Equation $f(x+y)-f(x-y)=2f'(x)f'(y)$

Published on 11 Aug 2018 - 18:56

score 224 · Answer 14 · 2018-08-13 20:06:01

224

Views

Substitution in functional equation

Published on 13 Aug 2018 - 20:06

score 77 · Answer 15 · 2018-08-14 22:09:07

77

Views

$\max\{x,y\}$ unique solution to functional equation?

Published on 14 Aug 2018 - 22:09

List Question

Is there a function such as the derivative of its inverse is the inverse of its derivative?

How to find the conditional distribution of an estimator given a prior

Find the natural number $a$ for which $\sum^n_{k=1}f(a+k)=16(2^n-1)$, given that $f(x+y)=f(x)\,f(y)$.

Is the Schröder Equation valid for higher dimensional iterated maps?

Which functions satisfy $f^n(x) = f(x)^n$ for some $n \ge 2$?

Determining all $f : \Bbb R \to\Bbb R$ satisfying $f\bigl(f(x)f(y)\bigr)+f(x+y)=f(xy)$

The functional equation $f(xy)=f(x)f(y)$

Non-continuous additive map without AC(Axiom of choice)

A function satisfying $f \left ( \frac 1 {f(x)} \right ) = x$

Find $f(x)$ satisfying $f(f(x))=x^x$

Proof verification of an exercise involving a functional equation

How to find $ f(x)$ if $f(1-f(x))=x$ for all $x$ $\in \mathbb{R}$

Functional Equation $f(x+y)-f(x-y)=2f'(x)f'(y)$

Substitution in functional equation

$\max\{x,y\}$ unique solution to functional equation?

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