Question

On Differentiable Functions (Khan Academy)

score 209 · Answer 1 · 2018-09-02 10:05:02

209

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On Differentiable Functions (Khan Academy)

Published on 02 Sep 2018 - 10:05

score 3.4k · Answer 2 · 2018-09-02 14:03:53

3.4k

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$f((x,y)^T)=\frac{xy^2}{x^2+y^2}$ not differentiable in $(0,0)^T$

Published on 02 Sep 2018 - 14:03

score 2.2k · Answer 3 · 2026-03-26 09:49:38

2.2k

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On Finding The Derivative At Asymptotes

Published on 26 Mar 2026 - 9:49

score 796 · Answer 4 · 2018-09-02 22:06:11

796

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If $f(x)$ is continuous at $x=g(a)$, and $g(x)$ is continuous at $x=a$, then $\lim_{x\rightarrow a} f(g(x)) = \lim_{g(x)\rightarrow g(a)} f(g(x))$

Published on 02 Sep 2018 - 22:06

score 1.6k · Answer 5 · 2018-09-03 06:26:05

1.6k

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A monk is climbing a hill.

Published on 03 Sep 2018 - 6:26

score 676 · Answer 6 · 2026-03-25 15:39:48

676

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Continuous function that takes rationals to irrationals and vice-versa?

Published on 25 Mar 2026 - 15:39

score 49 · Answer 7 · 2026-03-25 11:27:16

49

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Prove that $\begin{cases}x'(t)=-x^{3}(t)+\sin(t)x^{2}(t)+1 & t\geq 0,\\x(0)=x_0\in \Bbb{R}&\end{cases}$ has a global solution on $\Bbb{R}^+$

Published on 25 Mar 2026 - 11:27

score 343 · Answer 8 · 2018-09-04 02:59:48

343

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Show that the function f does not have limit at $x = 0:$

Published on 04 Sep 2018 - 2:59

score 225 · Answer 9 · 2026-03-26 06:21:03

225

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Binary operation of addition on reals is uniformly continuous, whereas multiplication is not (proof-verification)

Published on 26 Mar 2026 - 6:21

score 2.1k · Answer 10 · 2026-03-25 17:42:23

2.1k

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How The Concept Of A Limit Allows Us To Move From The Secants To Tangents

Published on 25 Mar 2026 - 17:42

score 221 · Answer 11 · 2026-04-01 19:12:03

221

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Continuous function can be written as an exponential

Published on 01 Apr 2026 - 19:12

score 60 · Answer 12 · 2018-09-05 03:32:58

60

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Prove that the polynomial $p(x)=\sqrt{2}x^3+4x^2+\frac{1}{7}x+10$ has a root in $\mathbb{R}$

Published on 05 Sep 2018 - 3:32

score 355 · Answer 13 · 2026-03-28 23:57:51

355

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Continuous function from connected metric space to disrcete metric space

Published on 28 Mar 2026 - 23:57

score 105 · Answer 14 · 2018-09-05 08:46:46

105

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Prove continuity of the following Function (Question in Conway)

Published on 05 Sep 2018 - 8:46

score 163 · Answer 15 · 2018-09-05 09:54:26

163

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Continuity of a rational ruler like function

Published on 05 Sep 2018 - 9:54

List Question

On Differentiable Functions (Khan Academy)

$f((x,y)^T)=\frac{xy^2}{x^2+y^2}$ not differentiable in $(0,0)^T$

On Finding The Derivative At Asymptotes

If $f(x)$ is continuous at $x=g(a)$, and $g(x)$ is continuous at $x=a$, then $\lim_{x\rightarrow a} f(g(x)) = \lim_{g(x)\rightarrow g(a)} f(g(x))$

A monk is climbing a hill.

Continuous function that takes rationals to irrationals and vice-versa?

Prove that $\begin{cases}x'(t)=-x^{3}(t)+\sin(t)x^{2}(t)+1 & t\geq 0,\\x(0)=x_0\in \Bbb{R}&\end{cases}$ has a global solution on $\Bbb{R}^+$

Show that the function f does not have limit at $x = 0:$

Binary operation of addition on reals is uniformly continuous, whereas multiplication is not (proof-verification)

How The Concept Of A Limit Allows Us To Move From The Secants To Tangents

Continuous function can be written as an exponential

Prove that the polynomial $p(x)=\sqrt{2}x^3+4x^2+\frac{1}{7}x+10$ has a root in $\mathbb{R}$

Continuous function from connected metric space to disrcete metric space

Prove continuity of the following Function (Question in Conway)

Continuity of a rational ruler like function

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