Question

How to prove using Mean value theorem $3^x-2^x >(1.5)^x, \:\forall x \geq 2$

score 73 · Answer 1 · 2026-02-23 14:55:47

73

Views

How to prove using Mean value theorem $3^x-2^x >(1.5)^x, \:\forall x \geq 2$

Published on 23 Feb 2026 - 14:55

score 138 · Answer 2 · 2023-03-30 08:47:57

138

Views

Can we prove that there only exists one $\tau$ for this equation?

Published on 30 Mar 2023 - 8:47

score 45 · Answer 3 · 2023-04-01 10:22:18

45

Views

Simple and interesting inequality involving the Lerch transcendent function

Published on 01 Apr 2023 - 10:22

score 35 · Answer 4 · 2023-04-01 10:41:54

35

Views

Prove that this function can't exist

Published on 01 Apr 2023 - 10:41

score 69 · Answer 5 · 2026-03-26 02:26:05

69

Views

First derivative test for polynomials over ordered fields

Published on 26 Mar 2026 - 2:26

score 45 · Answer 6 · 2023-04-08 16:46:54

45

Views

Integral value of monotone function

Published on 08 Apr 2023 - 16:46

score 296 · Answer 7 · 2023-04-10 10:44:56

296

Views

Proving $S_1-S_2$ is monotone decreasing

Published on 10 Apr 2023 - 10:44

score 46 · Answer 8 · 2023-04-11 23:02:52

46

Views

Can every continuous, monotonic function be decomposed into concave and convex functions?

Published on 11 Apr 2023 - 23:02

score 31 · Answer 9 · 2023-04-13 17:45:18

31

Views

If $f$ is a continuous real function, and there is no interval on which $f$ is monotone, then there is no interval on which $f$ is differentiable?

Published on 13 Apr 2023 - 17:45

score 128 · Answer 10 · 2023-04-16 10:15:23

128

Views

Show that $f(c)= 0$ for some $c \in (0, 1)$

Published on 16 Apr 2023 - 10:15

score 157 · Answer 11 · 2023-04-16 14:18:35

157

Views

Is there any definition of a monotonic function in the complex plane?

Published on 16 Apr 2023 - 14:18

score 18 · Answer 12 · 2023-04-20 15:44:35

18

Views

Intersections of functions with monotone derivatives

Published on 20 Apr 2023 - 15:44

score 118 · Answer 13 · 2023-04-26 10:39:17

118

Views

$a_{n+1}=\frac{{a_n}^2+2}{2a_n}$ Proof that the sequence is monotonically decreasing.

Published on 26 Apr 2023 - 10:39

score 183 · Answer 14 · 2023-04-30 17:12:06

183

Views

Can someone give examples where a non monotonic function is invertible?

Published on 30 Apr 2023 - 17:12

score 116 · Answer 15 · 2023-05-02 15:15:59

116

Views

Name of the monotone-like property "$f(x)\geq f(x\wedge y)$ implies $f(x\vee y)\geq f(x)$" on a lattice

Published on 02 May 2023 - 15:15

List Question

How to prove using Mean value theorem $3^x-2^x >(1.5)^x, \:\forall x \geq 2$

Can we prove that there only exists one $\tau$ for this equation?

Simple and interesting inequality involving the Lerch transcendent function

Prove that this function can't exist

First derivative test for polynomials over ordered fields

Integral value of monotone function

Proving $S_1-S_2$ is monotone decreasing

Can every continuous, monotonic function be decomposed into concave and convex functions?

If $f$ is a continuous real function, and there is no interval on which $f$ is monotone, then there is no interval on which $f$ is differentiable?

Show that $f(c)= 0$ for some $c \in (0, 1)$

Is there any definition of a monotonic function in the complex plane?

Intersections of functions with monotone derivatives

$a_{n+1}=\frac{{a_n}^2+2}{2a_n}$ Proof that the sequence is monotonically decreasing.

Can someone give examples where a non monotonic function is invertible?

Name of the monotone-like property "$f(x)\geq f(x\wedge y)$ implies $f(x\vee y)\geq f(x)$" on a lattice

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