Question

Multivariable Differentiabiltiy

score 55 · Answer 1 · 2026-04-01 02:45:15

55

Views

Multivariable Differentiabiltiy

Published on 01 Apr 2026 - 2:45

score 269 · Answer 2 · 2026-03-24 23:35:39

269

Views

Computing Partial Derivatives using implicit function theorem

Published on 24 Mar 2026 - 23:35

score 950 · Answer 3 · 2026-04-01 10:58:34

950

Views

Dot product in the line integral of a vector field

Published on 01 Apr 2026 - 10:58

score 70 · Answer 4 · 2026-03-25 07:40:26

70

Views

How can I prove that the following function is increasing in x?

Published on 25 Mar 2026 - 7:40

score 33 · Answer 5 · 2026-04-08 22:41:24

33

Views

Show that certain properties remain under inversion

Published on 08 Apr 2026 - 22:41

score 112 · Answer 6 · 2026-04-10 20:03:09

112

Views

Implicit-differentiation with two surfaces

Published on 10 Apr 2026 - 20:03

score 122 · Answer 7 · 2026-04-08 23:22:34

122

Views

($f:R\subset \Bbb R^n\to \Bbb R$, $f\geq 0$, $\int\limits_R f(x)\,dx=0$) $\implies$ ($f=0$ almost everywhere)

Published on 08 Apr 2026 - 23:22

score 167 · Answer 8 · 2026-04-09 00:10:10

167

Views

Jacobian determinant of a diffeomorphism on the unit shpere must equal $1$ or $-1$

Published on 09 Apr 2026 - 0:10

score 96 · Answer 9 · 2026-03-25 02:41:21

96

Views

Showing that a limit of a two variable function does not exist?

Published on 25 Mar 2026 - 2:41

score 38 · Answer 10 · 2026-03-24 19:10:29

38

Views

Confusion related to independent and depedent variables in functions of several variables

Published on 24 Mar 2026 - 19:10

score 95 · Answer 11 · 2026-03-25 07:17:10

95

Views

Find extremal values of $f(x,y)=x^2+4y^2$ on the set $D$.

Published on 25 Mar 2026 - 7:17

score 53 · Answer 12 · 2026-03-25 07:18:03

Flux of $\vec F=\left(2\pi x+\frac{2x^2y^2}{\pi} \right) \vec{\imath}+\left(2\pi xy-\frac{4y}{\pi}\right)\vec{\jmath}$ across an ellipse

score 69 · Answer 13 · 2026-03-25 13:56:51

69

Views

Proving that $x^a-y^a<x-y$ for $0<y<x<1$ and $a \in (0,1)$

Published on 25 Mar 2026 - 13:56

score 400 · Answer 14 · 2026-03-25 14:39:14

400

Views

Computing error limits with total differential.

Published on 25 Mar 2026 - 14:39

score 73 · Answer 15 · 2026-03-25 00:37:14

73

Views

Why is $\int_{\mathbb{S}^1} \frac{-v\,du+u\,dv}{u^2+v^2}=2\pi$? Why not $0$?

Published on 25 Mar 2026 - 0:37

List Question

Multivariable Differentiabiltiy

Computing Partial Derivatives using implicit function theorem

Dot product in the line integral of a vector field

How can I prove that the following function is increasing in x?

Show that certain properties remain under inversion

Implicit-differentiation with two surfaces

($f:R\subset \Bbb R^n\to \Bbb R$, $f\geq 0$, $\int\limits_R f(x)\,dx=0$) $\implies$ ($f=0$ almost everywhere)

Jacobian determinant of a diffeomorphism on the unit shpere must equal $1$ or $-1$

Showing that a limit of a two variable function does not exist?

Confusion related to independent and depedent variables in functions of several variables

Find extremal values of $f(x,y)=x^2+4y^2$ on the set $D$.

Flux of $\vec F=\left(2\pi x+\frac{2x^2y^2}{\pi} \right) \vec{\imath}+\left(2\pi xy-\frac{4y}{\pi}\right)\vec{\jmath}$ across an ellipse

Proving that $x^a-y^a<x-y$ for $0<y<x<1$ and $a \in (0,1)$

Computing error limits with total differential.

Why is $\int_{\mathbb{S}^1} \frac{-v\,du+u\,dv}{u^2+v^2}=2\pi$? Why not $0$?

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