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Multidimensional chain rule, online calculator

score 10.9k · Answer 1 · 2026-04-17 01:10:51

10.9k

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Multidimensional chain rule, online calculator

Published on 17 Apr 2026 - 1:10

score 46 · Answer 2 · 2026-04-12 03:17:09

46

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Proving maximum of $u$ on $\overline\Omega$ is achieved on $\partial \Omega$ using $Lv = \sum a_{jk}\partial_{jk} + \sum b_j(x)\partial_j$

Published on 12 Apr 2026 - 3:17

score 36 · Answer 3 · 2026-04-11 12:41:53

36

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pythagorean theorem Calculus

Published on 11 Apr 2026 - 12:41

score 71 · Answer 4 · 2026-04-12 20:15:05

71

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What is meant by Lee when he says "the definition of a differential was cooked up to give a coordinate independent meaning to the Jacobian matrix"

Published on 12 Apr 2026 - 20:15

score 83 · Answer 5 · 2026-04-15 18:03:23

83

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Find field lines of $u = (x^2 , y^2 − y)$ that passes through the point $(1, 1/2)$

Published on 15 Apr 2026 - 18:03

score 121 · Answer 6 · 2026-04-16 07:48:22

121

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Computing the differential of this map

Published on 16 Apr 2026 - 7:48

score 98 · Answer 7 · 2026-04-15 21:29:18

98

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Why is it that the level curves of $g$ are orthogonal to these curves of $f$ here?

Published on 15 Apr 2026 - 21:29

score 764 · Answer 8 · 2026-04-14 01:53:50

764

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multidimensional chain rule, example

Published on 14 Apr 2026 - 1:53

score 79 · Answer 9 · 2026-04-14 04:34:09

79

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$f: \mathbb R^2 \to \mathbb R$ be $f(x,y) = x^{[y]}$. How can we define this function at $(0,0)$?

Published on 14 Apr 2026 - 4:34

score 259 · Answer 10 · 2026-04-17 01:32:50

259

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Find the flux of $\mathbb{v} = (x^2-2xz, -2xy, z^2-x)$ downwards through the paraboloid $z = 1 - x^2 - y^2$

Published on 17 Apr 2026 - 1:32

score 125 · Answer 11 · 2026-04-15 09:18:34

125

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Proof explanation: Prove that $\Vert f(b)-f(a)-f'(a)(b-a) \Vert\leq \sup_{x\in [a,b]} \Vert f''(x)\Vert\Vert b-a\Vert^2$

Published on 15 Apr 2026 - 9:18

score 534 · Answer 12 · 2026-04-12 11:44:47

534

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Prove formally that multivariate function has global extrema

Published on 12 Apr 2026 - 11:44

score 114 · Answer 13 · 2026-04-17 13:16:51

114

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$x(y^2+u)u_x-y(x^2+u)u_y=(x^2-y^2)u$ with $u(x,-x)=1$ for $x>0$

Published on 17 Apr 2026 - 13:16

score 9k · Answer 14 · 2026-04-14 04:40:40

9k

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Calculate the Hessian of a Vector Function

Published on 14 Apr 2026 - 4:40

score 3.2k · Answer 15 · 2026-04-09 21:50:57

3.2k

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How to minimize $f(x) = \|Ax-b\|$

Published on 09 Apr 2026 - 21:50

List Question

Multidimensional chain rule, online calculator

Proving maximum of $u$ on $\overline\Omega$ is achieved on $\partial \Omega$ using $Lv = \sum a_{jk}\partial_{jk} + \sum b_j(x)\partial_j$

pythagorean theorem Calculus

What is meant by Lee when he says "the definition of a differential was cooked up to give a coordinate independent meaning to the Jacobian matrix"

Find field lines of $u = (x^2 , y^2 − y)$ that passes through the point $(1, 1/2)$

Computing the differential of this map

Why is it that the level curves of $g$ are orthogonal to these curves of $f$ here?

multidimensional chain rule, example

$f: \mathbb R^2 \to \mathbb R$ be $f(x,y) = x^{[y]}$. How can we define this function at $(0,0)$?

Find the flux of $\mathbb{v} = (x^2-2xz, -2xy, z^2-x)$ downwards through the paraboloid $z = 1 - x^2 - y^2$

Proof explanation: Prove that $\Vert f(b)-f(a)-f'(a)(b-a) \Vert\leq \sup_{x\in [a,b]} \Vert f''(x)\Vert\Vert b-a\Vert^2$

Prove formally that multivariate function has global extrema

$x(y^2+u)u_x-y(x^2+u)u_y=(x^2-y^2)u$ with $u(x,-x)=1$ for $x>0$

Calculate the Hessian of a Vector Function

How to minimize $f(x) = \|Ax-b\|$

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