Question

$\sqrt{1-x^2}$ is not differentiable at $x = 1$. Please give me an easier proof if exists.

score 1.4k · Answer 1 · 2026-04-15 02:33:29

1.4k

Views

$\sqrt{1-x^2}$ is not differentiable at $x = 1$. Please give me an easier proof if exists.

Published on 15 Apr 2026 - 2:33

score 251 · Answer 2 · 2026-04-17 09:26:14

251

Views

Integral from Mathematica's documentation: $\int_0^1 \frac{\log (\frac{1}{2}(1+\sqrt{4 x+1}))}{x} \, dx = \frac{\pi^2}{15} $

Published on 17 Apr 2026 - 9:26

score 85 · Answer 3 · 2026-04-12 03:17:43

85

Views

Proving that a polynomial is the minimal polynomial using linear independence and not field theory.

Published on 12 Apr 2026 - 3:17

score 145 · Answer 4 · 2026-03-26 01:23:26

145

Views

Prove $5\Big(\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}\Big)\geq \frac{a^2+b^2+c^2}{ab+bc+ca}+10.$

Published on 26 Mar 2026 - 1:23

score 114 · Answer 5 · 2026-04-14 20:39:41

114

Views

How important/necessary is it to find or learn an elementary proof?

Published on 14 Apr 2026 - 20:39

score 53 · Answer 6 · 2026-04-11 01:56:34

53

Views

Counterexample? Other Alternative proofs?

Published on 11 Apr 2026 - 1:56

score 209 · Answer 7 · 2026-04-14 02:00:04

209

Views

Different proofs for infinitude of primes

Published on 14 Apr 2026 - 2:00

score 274 · Answer 8 · 2026-04-16 16:02:39

274

Views

Find the image of the line $\frac{x}{3}=\frac{y}{2}=\frac{z-1}{1}$ in the plane $x+y+z=4$.

Published on 16 Apr 2026 - 16:02

score 2.1k · Answer 9 · 2026-04-09 13:26:49

2.1k

Views

Find Reflection of A point with respect to a line mirror in 3D

Published on 09 Apr 2026 - 13:26

score 614 · Answer 10 · 2026-04-14 21:57:05

614

Views

There exists a unique path linking every two vertices in a tree $T$

Published on 14 Apr 2026 - 21:57

score 199 · Answer 11 · 2026-04-12 20:55:03

199

Views

Alternate proof that swapping inverted elements causes total inversions to decrease for greedy algorithm.

Published on 12 Apr 2026 - 20:55

score 100 · Answer 12 · 2026-03-25 23:42:39

100

Views

Prove $\sum_{\mathrm{cyc}} \sqrt{34x^2 + 28y^2 + 7z^2 - xy - 28yz + 41zx} \ge 9x + 9y + 9z$

Published on 25 Mar 2026 - 23:42

score 117 · Answer 13 · 2026-03-26 19:20:07

117

Views

Prove $3\left(9-5\sqrt{3}\right) \sum \frac{1}{a} \geqslant \sum a^2+\frac32\cdot\frac{\left[(\sqrt3-2)(ab+bc+ca)+abc\right]^2}{abc}$

Published on 26 Mar 2026 - 19:20

score 121 · Answer 14 · 2026-04-16 05:29:48

121

Views

Alternative proofs for the divergence of sum of reciprocal of primes

Published on 16 Apr 2026 - 5:29

score 185 · Answer 15 · 2026-04-12 08:38:23

185

Views

Euclid's Theorem via Sieve of Eratosthenes? (potential proof given but seeking references/alternatives/verification)

Published on 12 Apr 2026 - 8:38

List Question

$\sqrt{1-x^2}$ is not differentiable at $x = 1$. Please give me an easier proof if exists.

Integral from Mathematica's documentation: $\int_0^1 \frac{\log (\frac{1}{2}(1+\sqrt{4 x+1}))}{x} \, dx = \frac{\pi^2}{15} $

Proving that a polynomial is the minimal polynomial using linear independence and not field theory.

Prove $5\Big(\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}\Big)\geq \frac{a^2+b^2+c^2}{ab+bc+ca}+10.$

How important/necessary is it to find or learn an elementary proof?

Counterexample? Other Alternative proofs?

Different proofs for infinitude of primes

Find the image of the line $\frac{x}{3}=\frac{y}{2}=\frac{z-1}{1}$ in the plane $x+y+z=4$.

Find Reflection of A point with respect to a line mirror in 3D

There exists a unique path linking every two vertices in a tree $T$

Alternate proof that swapping inverted elements causes total inversions to decrease for greedy algorithm.

Prove $\sum_{\mathrm{cyc}} \sqrt{34x^2 + 28y^2 + 7z^2 - xy - 28yz + 41zx} \ge 9x + 9y + 9z$

Prove $3\left(9-5\sqrt{3}\right) \sum \frac{1}{a} \geqslant \sum a^2+\frac32\cdot\frac{\left[(\sqrt3-2)(ab+bc+ca)+abc\right]^2}{abc}$

Alternative proofs for the divergence of sum of reciprocal of primes

Euclid's Theorem via Sieve of Eratosthenes? (potential proof given but seeking references/alternatives/verification)

Trending Questions

Popular # Hahtags

Popular Questions