Question

Show that the families of hyberbolae $x^2-y^2=a$, $xy=b$ create an orthogonal grid: what am I doing wrong?

score 125 · Answer 1 · 2026-04-15 12:08:18

125

Views

Show that the families of hyberbolae $x^2-y^2=a$, $xy=b$ create an orthogonal grid: what am I doing wrong?

Published on 15 Apr 2026 - 12:08

score 57 · Answer 2 · 2026-04-13 20:32:31

57

Views

why is $\frac{\partial y_{mn}}{\partial \mathbf X}= \mathbf B \mathbf I_{mn}^T\mathbf A$

Published on 13 Apr 2026 - 20:32

score 84 · Answer 3 · 2026-04-10 20:11:59

84

Views

Increase and minimum/maximum of simple function

Published on 10 Apr 2026 - 20:11

score 703 · Answer 4 · 2026-04-12 20:13:12

703

Views

Is there a continuous monotone function that fails to be differentiable on a dense subset of $\mathbb{R}$?

Published on 12 Apr 2026 - 20:13

score 102 · Answer 5 · 2026-05-11 09:31:15

102

Views

Derivative of a logarithm (chain rule)

Published on 11 May 2026 - 9:31

score 6k · Answer 6 · 2026-04-09 10:11:51

6k

Views

What is derivative of $\sin ax$ where $a$ is a constant?

Published on 09 Apr 2026 - 10:11

score 53 · Answer 7 · 2026-04-14 09:51:33

53

Views

Why does $xy^x$ decrease for low $y$?

Published on 14 Apr 2026 - 9:51

score 870 · Answer 8 · 2026-04-14 18:25:46

870

Views

How can I show $\max(f,g)$ is differentiable at $c$?

Published on 14 Apr 2026 - 18:25

score 1.2k · Answer 9 · 2026-05-11 08:34:43

1.2k

Views

Derivation of the trace with Hessian matrix

Published on 11 May 2026 - 8:34

score 793 · Answer 10 · 2026-04-17 09:14:52

793

Views

What is the relationship between the determinant and the derivative of a linear map?

Published on 17 Apr 2026 - 9:14

score 40 · Answer 11 · 2026-04-17 10:31:53

40

Views

Simplifying $3x^2(x+8)^3+3x^3(x+8)^2$

Published on 17 Apr 2026 - 10:31

score 36 · Answer 12 · 2026-04-09 06:55:02

36

Views

Finding the maximum of a function on a specific interval

Published on 09 Apr 2026 - 6:55

score 1k · Answer 13 · 2026-04-16 00:21:09

1k

Views

$f: \mathbb{R}^2 \to \mathbb{R}^2$ with $f(x,y) := (e^x\cos y, e^x\sin y)$ locally/globally reversible and Jacobian matrix

Published on 16 Apr 2026 - 0:21

score 55 · Answer 14 · 2026-04-17 07:32:23

55

Views

maxima/minima $h(v,w,x,y) := 6v^2-12v+arctan(w)- \frac{1}{2}w+\exp(x^2)+x^2+y^2+\frac{1}{4}xy$

Published on 17 Apr 2026 - 7:32

score 27 · Answer 15 · 2026-04-17 13:57:29

27

Views

Find the values $\omega_{X}(v)$ of the $1$-forms of $\omega$ at all possible locations $X$ and directions $V$

Published on 17 Apr 2026 - 13:57

List Question

Show that the families of hyberbolae $x^2-y^2=a$, $xy=b$ create an orthogonal grid: what am I doing wrong?

why is $\frac{\partial y_{mn}}{\partial \mathbf X}= \mathbf B \mathbf I_{mn}^T\mathbf A$

Increase and minimum/maximum of simple function

Is there a continuous monotone function that fails to be differentiable on a dense subset of $\mathbb{R}$?

Derivative of a logarithm (chain rule)

What is derivative of $\sin ax$ where $a$ is a constant?

Why does $xy^x$ decrease for low $y$?

How can I show $\max(f,g)$ is differentiable at $c$?

Derivation of the trace with Hessian matrix

What is the relationship between the determinant and the derivative of a linear map?

Simplifying $3x^2(x+8)^3+3x^3(x+8)^2$

Finding the maximum of a function on a specific interval

$f: \mathbb{R}^2 \to \mathbb{R}^2$ with $f(x,y) := (e^x\cos y, e^x\sin y)$ locally/globally reversible and Jacobian matrix

maxima/minima $h(v,w,x,y) := 6v^2-12v+arctan(w)- \frac{1}{2}w+\exp(x^2)+x^2+y^2+\frac{1}{4}xy$

Find the values $\omega_{X}(v)$ of the $1$-forms of $\omega$ at all possible locations $X$ and directions $V$

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