Question

Confusion About Differentiability of Function

score 157 · Answer 1 · 2026-04-09 06:37:23

157

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Confusion About Differentiability of Function

Published on 09 Apr 2026 - 6:37

score 43 · Answer 2 · 2026-03-25 23:36:53

43

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Integrating over a paraboloid, help on determining limits of integrations

Published on 25 Mar 2026 - 23:36

score 296 · Answer 3 · 2026-04-14 00:54:47

296

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How do I compute the matrix gradient with respect to a submatrix by applying the chain rule?

Published on 14 Apr 2026 - 0:54

score 577 · Answer 4 · 2026-04-10 16:43:16

577

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Multidimensional Fourier Transform of a Partial Differential Equation

Published on 10 Apr 2026 - 16:43

score 98 · Answer 5 · 2026-04-13 13:49:05

98

Views

Meaningless partial derivative

Published on 13 Apr 2026 - 13:49

score 354 · Answer 6 · 2026-04-11 11:13:22

354

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level surface of a sphere

Published on 11 Apr 2026 - 11:13

score 142 · Answer 7 · 2026-04-17 08:48:31

142

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A surjective map $S^{2} \longrightarrow S^{2}$

Published on 17 Apr 2026 - 8:48

score 617 · Answer 8 · 2026-04-13 02:13:06

617

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Applying Inverse Function Theorem to open set $A$ to prove $f^{-1}:f(A) \to A$ is a differentiable map

Published on 13 Apr 2026 - 2:13

score 49 · Answer 9 · 2026-04-14 21:44:24

49

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Finding $a_i:U→\mathbb R$ of class $C^{k-1}$ such that $f(x,y)=\sum\limits_{j=0}^ia_j(x,y)x^jy^{i-j}$

Published on 14 Apr 2026 - 21:44

score 77 · Answer 10 · 2026-04-24 02:27:39

77

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If all partial derivatives 0f $f:\mathbb{R^2}\rightarrow \mathbb{R}$ equal $0$ at $(x,y)$ then $f$ is not injective in neighborhood of $(x,y)$

Published on 24 Apr 2026 - 2:27

score 78 · Answer 11 · 2026-04-09 16:10:54

78

Views

method to prove that the transformation is bijective

Published on 09 Apr 2026 - 16:10

score 70 · Answer 12 · 2026-04-14 19:31:56

70

Views

Finding the derivative $A'$ of $f((x_1,x_2,x_3)) = (x_1^2, x_3^2)$ by $\lim_{h\to 0} \frac{|A(x+h) -Ax-A'h|}{|h|} = 0$

Published on 14 Apr 2026 - 19:31

score 126 · Answer 13 · 2026-04-10 07:55:19

126

Views

Definition of Chain Rule

Published on 10 Apr 2026 - 7:55

score 4.4k · Answer 14 · 2026-04-14 09:03:12

4.4k

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Finding Absolute Minimum and Absolute Maximum of $f(x,y)=xy$

Published on 14 Apr 2026 - 9:03

score 48 · Answer 15 · 2026-04-16 03:39:29

48

Views

Calculate the maximum of $f(x,y)=\left|\frac{\sin(xy)}{x\sqrt{y}}\right|$

Published on 16 Apr 2026 - 3:39

List Question

Confusion About Differentiability of Function

Integrating over a paraboloid, help on determining limits of integrations

How do I compute the matrix gradient with respect to a submatrix by applying the chain rule?

Multidimensional Fourier Transform of a Partial Differential Equation

Meaningless partial derivative

level surface of a sphere

A surjective map $S^{2} \longrightarrow S^{2}$

Applying Inverse Function Theorem to open set $A$ to prove $f^{-1}:f(A) \to A$ is a differentiable map

Finding $a_i:U→\mathbb R$ of class $C^{k-1}$ such that $f(x,y)=\sum\limits_{j=0}^ia_j(x,y)x^jy^{i-j}$

If all partial derivatives 0f $f:\mathbb{R^2}\rightarrow \mathbb{R}$ equal $0$ at $(x,y)$ then $f$ is not injective in neighborhood of $(x,y)$

method to prove that the transformation is bijective

Finding the derivative $A'$ of $f((x_1,x_2,x_3)) = (x_1^2, x_3^2)$ by $\lim_{h\to 0} \frac{|A(x+h) -Ax-A'h|}{|h|} = 0$

Definition of Chain Rule

Finding Absolute Minimum and Absolute Maximum of $f(x,y)=xy$

Calculate the maximum of $f(x,y)=\left|\frac{\sin(xy)}{x\sqrt{y}}\right|$

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