Question

Why does $ f(b)-f(a) \le g(|b-a|)^c$ imply that $f$ is infinitely differentiable?

score 109 · Answer 1 · 2026-04-15 09:05:59

109

Views

Why does $ f(b)-f(a) \le g(|b-a|)^c$ imply that $f$ is infinitely differentiable?

Published on 15 Apr 2026 - 9:05

score 52 · Answer 2 · 2026-04-12 14:40:45

52

Views

Show with only elementary methods that the ODE $f(x)=f'(x), f(0)= 0$ has only the constant function as solution

Published on 12 Apr 2026 - 14:40

score 63 · Answer 3 · 2026-03-25 20:35:45

63

Views

implicit differentiation $\frac1y+\frac1x=1$

Published on 25 Mar 2026 - 20:35

score 113 · Answer 4 · 2026-04-16 09:21:15

113

Views

cut off function-Morrey's book

Published on 16 Apr 2026 - 9:21

score 110 · Answer 5 · 2026-04-17 11:41:11

110

Views

An example of $g$ such that $f(b)-f(a) \le g(|b-a|)^c$ does not imply the differentiability of $f$

Published on 17 Apr 2026 - 11:41

score 745 · Answer 6 · 2026-04-14 13:46:12

745

Views

Is the second derivative ($\ddot{r}$) equivalent to the first derivative squared ($\dot{r}^2$)?

Published on 14 Apr 2026 - 13:46

score 100 · Answer 7 · 2026-04-14 15:52:24

100

Views

Min Value of $a$ where $a^x$ and $\log_a x$ have a common tangent

Published on 14 Apr 2026 - 15:52

score 4.2k · Answer 8 · 2026-04-10 15:00:59

4.2k

Views

Intermediate Value Theorem without an interval?

Published on 10 Apr 2026 - 15:00

score 206 · Answer 9 · 2026-04-17 10:16:48

206

Views

Deriving $\sqrt{b^2+2gs}$

Published on 17 Apr 2026 - 10:16

score 85 · Answer 10 · 2026-04-13 04:21:10

85

Views

Question about a step in the proof of: If $f:\mathbb R \to \mathbb R$ is differentiable, then it is continuous.

Published on 13 Apr 2026 - 4:21

score 106 · Answer 11 · 2026-04-12 22:31:08

106

Views

Use the definition of derivative to compute $dy/dx$, given $y=x+x^{-1}$

Published on 12 Apr 2026 - 22:31

score 179 · Answer 12 · 2026-04-12 00:26:15

179

Views

Derivative of $\sqrt{x}$ Using Symmetric Derivative Formula

Published on 12 Apr 2026 - 0:26

score 58 · Answer 13 · 2026-04-14 04:00:34

58

Views

Vector as whole differentiated has different result compared to element-wise

Published on 14 Apr 2026 - 4:00

score 464 · Answer 14 · 2026-04-11 06:04:06

464

Views

Differentiability of a singleton set

Published on 11 Apr 2026 - 6:04

score 60 · Answer 15 · 2026-04-15 21:46:20

60

Views

Simple question regarding 1st order linear ODEs

Published on 15 Apr 2026 - 21:46

List Question

Why does $ f(b)-f(a) \le g(|b-a|)^c$ imply that $f$ is infinitely differentiable?

Show with only elementary methods that the ODE $f(x)=f'(x), f(0)= 0$ has only the constant function as solution

implicit differentiation $\frac1y+\frac1x=1$

cut off function-Morrey's book

An example of $g$ such that $f(b)-f(a) \le g(|b-a|)^c$ does not imply the differentiability of $f$

Is the second derivative ($\ddot{r}$) equivalent to the first derivative squared ($\dot{r}^2$)?

Min Value of $a$ where $a^x$ and $\log_a x$ have a common tangent

Intermediate Value Theorem without an interval?

Deriving $\sqrt{b^2+2gs}$

Question about a step in the proof of: If $f:\mathbb R \to \mathbb R$ is differentiable, then it is continuous.

Use the definition of derivative to compute $dy/dx$, given $y=x+x^{-1}$

Derivative of $\sqrt{x}$ Using Symmetric Derivative Formula

Vector as whole differentiated has different result compared to element-wise

Differentiability of a singleton set

Simple question regarding 1st order linear ODEs

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