Question

Coordinate systems and derivative operators

score 245 · Answer 1 · 2026-05-10 23:56:26

245

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Coordinate systems and derivative operators

Published on 10 May 2026 - 23:56

score 565 · Answer 2 · 2026-04-17 06:50:03

565

Views

If for each $x \in \mathbb R$ there exists $n$ such that $f^{(m)}(x)=0$ for all $m \ge n$ then prove that $f$ must be a polynomial

Published on 17 Apr 2026 - 6:50

score 2.4k · Answer 3 · 2026-04-16 12:17:53

2.4k

Views

Find $y^{(n)}$ if $y=x^2e^x \cos(x)$

Published on 16 Apr 2026 - 12:17

score 40 · Answer 4 · 2026-04-13 17:17:27

40

Views

Extension of a real valued function preserving given properties

Published on 13 Apr 2026 - 17:17

score 31 · Answer 5 · 2026-04-15 21:49:24

31

Views

Partial derivation of $g:\mathbb{R^2} \to \mathbb{R}$ with $g(x,y) := (\sin(xy))^2$

Published on 15 Apr 2026 - 21:49

score 51 · Answer 6 · 2026-04-13 21:15:18

51

Views

Partial derivatives of $(x-y)^x$

Published on 13 Apr 2026 - 21:15

score 228 · Answer 7 · 2026-04-16 08:19:06

228

Views

Partial derivation of $xy \log (1+ \sqrt{x^2 + 2y^2})$

Published on 16 Apr 2026 - 8:19

score 172 · Answer 8 · 2026-04-13 03:36:27

172

Views

Rolle's Theorem and vertical tangents

Published on 13 Apr 2026 - 3:36

score 378 · Answer 9 · 2026-04-14 04:35:01

378

Views

Integral inequality with a strange condition

Published on 14 Apr 2026 - 4:35

score 1.7k · Answer 10 · 2026-04-12 20:44:27

1.7k

Views

How to get a derivative with respect to scalar for $f(a)=y^T(aI+B)^{-1}y$?

Published on 12 Apr 2026 - 20:44

score 56 · Answer 11 · 2026-05-10 12:55:10

56

Views

Differentiabilty of $f(x,y)=\sqrt[3]{\lvert x^2-(y+1)^2 \lvert}\sin(\lvert x+y+1 \lvert))$ at $(0,-1)$ , $(1,0)$ and $(-1,0)$

Published on 10 May 2026 - 12:55

score 71 · Answer 12 · 2026-04-15 16:50:29

71

Views

Derviation of the gradient for $E(f_\vec{w}) = (X\vec{w} - \vec{y})^{T}\cdot (X\vec{w} - \vec{y})$.

Published on 15 Apr 2026 - 16:50

score 42 · Answer 13 · 2026-05-10 21:57:25

42

Views

Is this problem wrong? I keep getting $y = ±(\sqrt{c-x^4})/x$ which is not possible as $x = 0$ and $y = 2$. Am I wrong?

Published on 10 May 2026 - 21:57

score 273 · Answer 14 · 2026-04-14 12:14:08

273

Views

Find the relative maxima and minima of y by the second-derivative test

Published on 14 Apr 2026 - 12:14

score 36 · Answer 15 · 2026-04-14 13:06:34

36

Views

Why is the given transformation bijective and bicontinuous?

Published on 14 Apr 2026 - 13:06

List Question

Coordinate systems and derivative operators

If for each $x \in \mathbb R$ there exists $n$ such that $f^{(m)}(x)=0$ for all $m \ge n$ then prove that $f$ must be a polynomial

Find $y^{(n)}$ if $y=x^2e^x \cos(x)$

Extension of a real valued function preserving given properties

Partial derivation of $g:\mathbb{R^2} \to \mathbb{R}$ with $g(x,y) := (\sin(xy))^2$

Partial derivatives of $(x-y)^x$

Partial derivation of $xy \log (1+ \sqrt{x^2 + 2y^2})$

Rolle's Theorem and vertical tangents

Integral inequality with a strange condition

How to get a derivative with respect to scalar for $f(a)=y^T(aI+B)^{-1}y$?

Differentiabilty of $f(x,y)=\sqrt[3]{\lvert x^2-(y+1)^2 \lvert}\sin(\lvert x+y+1 \lvert))$ at $(0,-1)$ , $(1,0)$ and $(-1,0)$

Derviation of the gradient for $E(f_\vec{w}) = (X\vec{w} - \vec{y})^{T}\cdot (X\vec{w} - \vec{y})$.

Is this problem wrong? I keep getting $y = ±(\sqrt{c-x^4})/x$ which is not possible as $x = 0$ and $y = 2$. Am I wrong?

Find the relative maxima and minima of y by the second-derivative test

Why is the given transformation bijective and bicontinuous?

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