Question

Limits of Functions Notation

score 90 · Answer 1 · 2026-04-11 19:37:08

90

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Limits of Functions Notation

Published on 11 Apr 2026 - 19:37

score 1.4k · Answer 2 · 2026-04-11 11:40:39

1.4k

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Derivative of ReLu function

Published on 11 Apr 2026 - 11:40

score 258 · Answer 3 · 2026-04-15 00:54:54

258

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$\frac{dx}{dt}, \frac{dx}{d\frac{dx}{dt}}, \frac{dx}{d\frac{dx}{d\frac{dx}{dt}}}$ ad infinitum to $\sqrt{2x}$

Published on 15 Apr 2026 - 0:54

score 17k · Answer 4 · 2026-04-16 08:23:14

17k

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If derivative of $f$ is continuous, then $f$ is continuous.

Published on 16 Apr 2026 - 8:23

score 26 · Answer 5 · 2026-04-15 12:36:41

26

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Given $f$ find $θ$ and show that $f$ is not differentiable at $x_0=0.$

Published on 15 Apr 2026 - 12:36

score 315 · Answer 6 · 2026-04-10 16:59:35

315

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Derivative of a random process using a Karhunen-Loève-expansion/basis expansion

Published on 10 Apr 2026 - 16:59

score 37 · Answer 7 · 2026-04-14 15:31:49

37

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Is there a nice notation for second derivative similar to bilinear form?

Published on 14 Apr 2026 - 15:31

score 95 · Answer 8 · 2026-04-16 05:35:06

95

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Find the derivative of $y=\tan^{-1}\left(\frac {1}{1-x^2}\right)$

Published on 16 Apr 2026 - 5:35

score 139 · Answer 9 · 2026-04-08 18:05:08

139

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Quotient Rule in Real Analysis

Published on 08 Apr 2026 - 18:05

score 82 · Answer 10 · 2026-04-14 10:48:10

82

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$f^{(n)}(x)$ exist $\forall x \in I$, an interval in $\mathbb{R}$ but $f^{(n+1)}(x)$ does not exist for any $x \in I$

Published on 14 Apr 2026 - 10:48

score 113 · Answer 11 · 2026-04-15 04:26:36

113

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Find the derivative of $\exp(x^x)$

Published on 15 Apr 2026 - 4:26

score 68 · Answer 12 · 2026-04-12 15:33:19

68

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Study the continuity domain and derivability domain

Published on 12 Apr 2026 - 15:33

score 112 · Answer 13 · 2026-04-15 04:49:27

112

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Let $f: \Bbb R \to \Bbb R$ be such that $|f(x) -f(y)| \le |x - y |^2 \ \forall \ x,\ y \in \Bbb R$. How can I show that $f$ is constant?

Published on 15 Apr 2026 - 4:49

score 196 · Answer 14 · 2026-04-16 08:00:39

196

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Why we can operate dx just like a real number in integration?

Published on 16 Apr 2026 - 8:00

score 50 · Answer 15 · 2026-04-16 00:52:38

50

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Given $f(x) = 3x^4-2x^3-x^2 +1, \ g(x) = 4x^3-3x^2-2x$ show $\frac{f(1)-f(0)}{g(1) - g(0)} \ne \frac {f'(x)}{g'(x)}$ for any $x \in (0,1)$

Published on 16 Apr 2026 - 0:52

List Question

Limits of Functions Notation

Derivative of ReLu function

$\frac{dx}{dt}, \frac{dx}{d\frac{dx}{dt}}, \frac{dx}{d\frac{dx}{d\frac{dx}{dt}}}$ ad infinitum to $\sqrt{2x}$

If derivative of $f$ is continuous, then $f$ is continuous.

Given $f$ find $θ$ and show that $f$ is not differentiable at $x_0=0.$

Derivative of a random process using a Karhunen-Loève-expansion/basis expansion

Is there a nice notation for second derivative similar to bilinear form?

Find the derivative of $y=\tan^{-1}\left(\frac {1}{1-x^2}\right)$

Quotient Rule in Real Analysis

$f^{(n)}(x)$ exist $\forall x \in I$, an interval in $\mathbb{R}$ but $f^{(n+1)}(x)$ does not exist for any $x \in I$

Find the derivative of $\exp(x^x)$

Study the continuity domain and derivability domain

Let $f: \Bbb R \to \Bbb R$ be such that $|f(x) -f(y)| \le |x - y |^2 \ \forall \ x,\ y \in \Bbb R$. How can I show that $f$ is constant?

Why we can operate dx just like a real number in integration?

Given $f(x) = 3x^4-2x^3-x^2 +1, \ g(x) = 4x^3-3x^2-2x$ show $\frac{f(1)-f(0)}{g(1) - g(0)} \ne \frac {f'(x)}{g'(x)}$ for any $x \in (0,1)$

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