Question

Converting to Complex coordinates to check injectivity of $f(x,y)=(e^x\cos{y},e^x\sin{y})$

score 237 · Answer 1 · 2026-04-16 09:18:55

237

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Converting to Complex coordinates to check injectivity of $f(x,y)=(e^x\cos{y},e^x\sin{y})$

Published on 16 Apr 2026 - 9:18

score 680 · Answer 2 · 2026-04-11 01:40:46

680

Views

Maximum/Minimum theorem

Published on 11 Apr 2026 - 1:40

score 258 · Answer 3 · 2026-04-12 04:28:11

258

Views

How to solve a nonlinear ODE with multiple product of derivative terms?

Published on 12 Apr 2026 - 4:28

score 146 · Answer 4 · 2026-04-29 12:26:20

146

Views

Show $f(x)=||x||^2\cdot x$ carries unit ball injectively onto its image

Published on 29 Apr 2026 - 12:26

score 642 · Answer 5 · 2026-04-16 02:49:02

642

Views

for $f(x,y)=(x^2-y^2,2xy)$ Sketch f(A) for $x>0$

Published on 16 Apr 2026 - 2:49

score 48 · Answer 6 · 2026-04-15 11:18:51

48

Views

Partial Derivatives - how they work in this examle

Published on 15 Apr 2026 - 11:18

score 102 · Answer 7 · 2026-04-13 06:30:00

102

Views

What are some example use cases for Newton's Method being extended to higher dimensions?

Published on 13 Apr 2026 - 6:30

score 329 · Answer 8 · 2026-04-12 06:16:38

329

Views

Hard Lagrange multipliers problem - inequalities on constraint

Published on 12 Apr 2026 - 6:16

score 264 · Answer 9 · 2026-04-12 23:25:53

264

Views

Doubt in The inverse function theorem of Rudin's Principles of mathematical Analysis (Theorem 9.24)

Published on 12 Apr 2026 - 23:25

score 93 · Answer 10 · 2026-04-19 13:01:50

93

Views

Injectivity of $g(x,y)=(2ye^{2x},xe^y)$ from $(0,1)$, onto $(2,0)$

Published on 19 Apr 2026 - 13:01

score 4k · Answer 11 · 2026-04-14 21:28:05

4k

Views

Show that the function $f(x, y) = |xy|$ is differentiable at $(0, 0)$

Published on 14 Apr 2026 - 21:28

score 4.3k · Answer 12 · 2026-04-10 17:41:26

4.3k

Views

Implicit Function Theorem implies the Inverse Function Theorem

Published on 10 Apr 2026 - 17:41

score 379 · Answer 13 · 2026-04-12 23:47:46

379

Views

Finding Point on Plane Closest to Curve

Published on 12 Apr 2026 - 23:47

score 308 · Answer 14 · 2026-04-12 09:38:16

308

Views

How to calculate the partial derivative of function within another function?

Published on 12 Apr 2026 - 9:38

score 1k · Answer 15 · 2026-04-14 22:25:29

1k

Views

If $A,B$ and $C$ are the interior angles of a triangle, then what is the maximum value for $\sin(A)\cdot\sin(B)\cdot\sin(C)$?

Published on 14 Apr 2026 - 22:25

List Question

Converting to Complex coordinates to check injectivity of $f(x,y)=(e^x\cos{y},e^x\sin{y})$

Maximum/Minimum theorem

How to solve a nonlinear ODE with multiple product of derivative terms?

Show $f(x)=||x||^2\cdot x$ carries unit ball injectively onto its image

for $f(x,y)=(x^2-y^2,2xy)$ Sketch f(A) for $x>0$

Partial Derivatives - how they work in this examle

What are some example use cases for Newton's Method being extended to higher dimensions?

Hard Lagrange multipliers problem - inequalities on constraint

Doubt in The inverse function theorem of Rudin's Principles of mathematical Analysis (Theorem 9.24)

Injectivity of $g(x,y)=(2ye^{2x},xe^y)$ from $(0,1)$, onto $(2,0)$

Show that the function $f(x, y) = |xy|$ is differentiable at $(0, 0)$

Implicit Function Theorem implies the Inverse Function Theorem

Finding Point on Plane Closest to Curve

How to calculate the partial derivative of function within another function?

If $A,B$ and $C$ are the interior angles of a triangle, then what is the maximum value for $\sin(A)\cdot\sin(B)\cdot\sin(C)$?

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