Question

Differentiability of a piecewise (salt-pepper like) function

score 182 · Answer 1 · 2026-04-10 06:42:11

182

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Differentiability of a piecewise (salt-pepper like) function

Published on 10 Apr 2026 - 6:42

score 139 · Answer 2 · 2026-04-17 06:28:56

139

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Showing differentiability of $g(x)=\begin{cases}\frac{f(x)}{x},&\text{$x\neq0$}\\f'(0),&x=0\end{cases}$ given that $f(0)=0$

Published on 17 Apr 2026 - 6:28

score 718 · Answer 3 · 2026-04-14 01:29:33

718

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Proving a definite integral is finite

Published on 14 Apr 2026 - 1:29

score 2.9k · Answer 4 · 2026-04-17 08:37:00

2.9k

Views

If a function is continuous everywhere, but undefined at one point, is it still continuous?

Published on 17 Apr 2026 - 8:37

score 35 · Answer 5 · 2026-04-14 17:57:01

35

Views

Need some help with continuity for the following piece-wise functions

Published on 14 Apr 2026 - 17:57

score 891 · Answer 6 · 2026-04-11 17:24:51

891

Views

Plotting a solution of a differential equation with Sagemath

Published on 11 Apr 2026 - 17:24

score 61 · Answer 7 · 2026-04-14 21:54:08

61

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Functions that Tend To Non-Smooth Functions as Some Parameter Tends to Infinity

Published on 14 Apr 2026 - 21:54

score 25 · Answer 8 · 2026-04-15 06:01:59

25

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$f\in C^1$ piecewise: why should the derivative be finite on the borders of the pieces?

Published on 15 Apr 2026 - 6:01

score 54 · Answer 9 · 2026-04-11 06:03:05

54

Views

Did I make a mistake when finding the intervals this function is continuous on?

Published on 11 Apr 2026 - 6:03

score 755 · Answer 10 · 2026-04-16 12:21:04

755

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First and second differentiability of the piecewise function $x^4\sin(\frac{1}{x})$ if $x \neq 0$ and $0$ if $x=0$

Published on 16 Apr 2026 - 12:21

score 1.8k · Answer 11 · 2026-04-12 14:01:44

1.8k

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How to fit data to a piecewise function?

Published on 12 Apr 2026 - 14:01

score 1k · Answer 12 · 2026-04-15 12:44:17

1k

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How can I graph the derivative of 1/4th of a circle or a semicircle in a piecewise function? (Also other kinds of piecewise functions)

Published on 15 Apr 2026 - 12:44

score 1.9k · Answer 13 · 2026-04-14 01:50:28

1.9k

Views

How can I graph this derivative of a quarter of a semicircle?

Published on 14 Apr 2026 - 1:50

score 1.9k · Answer 14 · 2026-04-15 07:27:35

1.9k

Views

Why is it necessary to split the definite integral of a piecewise function into a sum

Published on 15 Apr 2026 - 7:27

score 65 · Answer 15 · 2026-05-10 10:14:42

65

Views

Checking for Continuous function

Published on 10 May 2026 - 10:14

List Question

Differentiability of a piecewise (salt-pepper like) function

Showing differentiability of $g(x)=\begin{cases}\frac{f(x)}{x},&\text{$x\neq0$}\\f'(0),&x=0\end{cases}$ given that $f(0)=0$

Proving a definite integral is finite

If a function is continuous everywhere, but undefined at one point, is it still continuous?

Need some help with continuity for the following piece-wise functions

Plotting a solution of a differential equation with Sagemath

Functions that Tend To Non-Smooth Functions as Some Parameter Tends to Infinity

$f\in C^1$ piecewise: why should the derivative be finite on the borders of the pieces?

Did I make a mistake when finding the intervals this function is continuous on?

First and second differentiability of the piecewise function $x^4\sin(\frac{1}{x})$ if $x \neq 0$ and $0$ if $x=0$

How to fit data to a piecewise function?

How can I graph the derivative of 1/4th of a circle or a semicircle in a piecewise function? (Also other kinds of piecewise functions)

How can I graph this derivative of a quarter of a semicircle?

Why is it necessary to split the definite integral of a piecewise function into a sum

Checking for Continuous function

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