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Khan Academy calculus problem solution differentiation at a point: algebraic, incorrect.

score 1k · Answer 1 · 2026-04-12 19:00:18

1k

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Khan Academy calculus problem solution differentiation at a point: algebraic, incorrect.

Published on 12 Apr 2026 - 19:00

score 1.6k · Answer 2 · 2026-05-01 18:29:55

1.6k

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Is the power of a Holder continuous function still Holder continuous?

Published on 01 May 2026 - 18:29

score 96 · Answer 3 · 2026-04-17 01:32:15

96

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Show that $\int_{-\infty}^{\infty}\exp\left({-\left(\sqrt {4\pi^{2} t}\xi+\frac{i(y-x)}{2\sqrt t}~\right)^{2}}\right)\,d\xi =\frac{1}{\sqrt {4\pi t}}$

Published on 17 Apr 2026 - 1:32

score 1.7k · Answer 4 · 2026-04-17 15:29:48

1.7k

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Why does expanding $\lim_{p \rightarrow 0}\frac{1-p-(1-p)^3}{1-(1-p)^3}$ give a different limit from just substituting?

Published on 17 Apr 2026 - 15:29

score 29 · Answer 5 · 2026-04-16 11:58:31

29

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Assumptions that imply $\sup_{c \in [a_k,b]} f(c,x) \to f(b,x)$ if $a_k \to b$

Published on 16 Apr 2026 - 11:58

score 78 · Answer 6 · 2026-04-11 13:01:49

78

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Lagrange/Rolle question

Published on 11 Apr 2026 - 13:01

score 79 · Answer 7 · 2026-04-14 02:48:31

79

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Where should I start to solve this problem?

Published on 14 Apr 2026 - 2:48

score 476 · Answer 8 · 2026-04-14 21:58:48

476

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Prove the function $f(x)= \begin{cases}x^2 & x\in\mathbb{Q}\\-x^2 & else\end{cases}$ is differentiable at $x=0$

Published on 14 Apr 2026 - 21:58

score 82 · Answer 9 · 2026-04-15 23:25:50

82

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Find $\lim_{n \to \infty }\frac{x_{n+1}}{x_{n}}$

Published on 15 Apr 2026 - 23:25

score 106 · Answer 10 · 2026-04-10 18:18:05

106

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Extend function with absolute value smoothly

Published on 10 Apr 2026 - 18:18

score 258 · Answer 11 · 2026-04-16 06:45:19

258

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How to calculate $ \int \frac{\sin^{6}(x)}{\sin^{6}(x) + \cos^{6}(x)} dx? $

Published on 16 Apr 2026 - 6:45

score 64 · Answer 12 · 2026-04-14 00:38:17

64

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Check the convergence of $\sum\limits_{n=1}^\infty \int^r_0 \sin^n(x)\cos(x)\,\mathrm dx$ where $r>0$

Published on 14 Apr 2026 - 0:38

score 71 · Answer 13 · 2026-04-11 07:47:46

71

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How are these limits calculated?

Published on 11 Apr 2026 - 7:47

score 51 · Answer 14 · 2026-04-15 15:28:00

51

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How to decide whether a sequence, defined with a quadratic map converges or not?

Published on 15 Apr 2026 - 15:28

score 90 · Answer 15 · 2026-04-24 06:48:54

90

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Compute $\int_{-1}^{1}\frac{a^{2x}+1}{a^{x}+b^{x}}dx$

Published on 24 Apr 2026 - 6:48

List Question

Khan Academy calculus problem solution differentiation at a point: algebraic, incorrect.

Is the power of a Holder continuous function still Holder continuous?

Show that $\int_{-\infty}^{\infty}\exp\left({-\left(\sqrt {4\pi^{2} t}\xi+\frac{i(y-x)}{2\sqrt t}~\right)^{2}}\right)\,d\xi =\frac{1}{\sqrt {4\pi t}}$

Why does expanding $\lim_{p \rightarrow 0}\frac{1-p-(1-p)^3}{1-(1-p)^3}$ give a different limit from just substituting?

Assumptions that imply $\sup_{c \in [a_k,b]} f(c,x) \to f(b,x)$ if $a_k \to b$

Lagrange/Rolle question

Where should I start to solve this problem?

Prove the function $f(x)= \begin{cases}x^2 & x\in\mathbb{Q}\\-x^2 & else\end{cases}$ is differentiable at $x=0$

Find $\lim_{n \to \infty }\frac{x_{n+1}}{x_{n}}$

Extend function with absolute value smoothly

How to calculate $ \int \frac{\sin^{6}(x)}{\sin^{6}(x) + \cos^{6}(x)} dx? $

Check the convergence of $\sum\limits_{n=1}^\infty \int^r_0 \sin^n(x)\cos(x)\,\mathrm dx$ where $r>0$

How are these limits calculated?

How to decide whether a sequence, defined with a quadratic map converges or not?

Compute $\int_{-1}^{1}\frac{a^{2x}+1}{a^{x}+b^{x}}dx$

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