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Why is the Jacobian determinant continous in the proof of the Inverse function theorem.

score 1.1k · Answer 1 · 2016-02-25 16:15:10

1.1k

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Why is the Jacobian determinant continous in the proof of the Inverse function theorem.

Published on 25 Feb 2016 - 16:15

score 2.3k · Answer 2 · 2016-02-28 03:34:54

2.3k

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Why can't you have multiple domains in one function?

Published on 28 Feb 2016 - 3:34

score 839 · Answer 3 · 2016-03-02 18:16:26

839

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Number of solutions of the equation: $\sin^{-1}x+\cos^{-1}x^2=\frac{\pi}{2}$

Published on 02 Mar 2016 - 18:16

score 193 · Answer 4 · 2016-03-03 14:49:02

193

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Linear convergence of sequences of inverse functions

Published on 03 Mar 2016 - 14:49

score 405 · Answer 5 · 2016-03-08 14:30:44

405

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Can I always use the inverse of a function to find the range of it?

Published on 08 Mar 2016 - 14:30

score 50 · Answer 6 · 2016-03-09 21:30:42

50

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Invertible function that "messes" order

Published on 09 Mar 2016 - 21:30

score 434 · Answer 7 · 2016-03-10 06:53:57

434

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Functions with "ugly" inverses

Published on 10 Mar 2016 - 6:53

score 1.7k · Answer 8 · 2016-03-12 18:23:24

1.7k

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Counterexample: $g \circ f $ is the identity function, then $g$ is the inverse function for $f$

Published on 12 Mar 2016 - 18:23

score 85 · Answer 9 · 2016-03-16 23:49:09

85

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Solve an equation in which a variable is an argument of a tangent: $x= K+y\tan(\sqrt{y})+y$

Published on 16 Mar 2016 - 23:49

score 54 · Answer 10 · 2026-03-29 14:17:17

54

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Using function compositions to determine variable values

Published on 29 Mar 2026 - 14:17

score 664 · Answer 11 · 2016-03-19 07:28:27

664

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Inverse function Khan Academy

Published on 19 Mar 2016 - 7:28

score 76 · Answer 12 · 2016-03-22 07:29:10

76

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Closed form expression for $x$

Published on 22 Mar 2016 - 7:29

score 222 · Answer 13 · 2016-03-22 10:49:50

222

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Does there exist a closed form expression for roots of polynomials of the form $x^n + bx + c$

Published on 22 Mar 2016 - 10:49

score 2.4k · Answer 14 · 2026-03-24 01:50:43

2.4k

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Finding an inverse of $f(x,y)=(e^x \cos y,e^x \sin y)$ on a neighborhood of a given point

Published on 24 Mar 2026 - 1:50

score 189 · Answer 15 · 2016-03-25 02:52:37

189

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Simplifying the integral $\int\frac{dx}{(3 + 2\sin x - \cos x)}$ by an easy approach

Published on 25 Mar 2016 - 2:52

List Question

Why is the Jacobian determinant continous in the proof of the Inverse function theorem.

Why can't you have multiple domains in one function?

Number of solutions of the equation: $\sin^{-1}x+\cos^{-1}x^2=\frac{\pi}{2}$

Linear convergence of sequences of inverse functions

Can I always use the inverse of a function to find the range of it?

Invertible function that "messes" order

Functions with "ugly" inverses

Counterexample: $g \circ f $ is the identity function, then $g$ is the inverse function for $f$

Solve an equation in which a variable is an argument of a tangent: $x= K+y\tan(\sqrt{y})+y$

Using function compositions to determine variable values

Inverse function Khan Academy

Closed form expression for $x$

Does there exist a closed form expression for roots of polynomials of the form $x^n + bx + c$

Finding an inverse of $f(x,y)=(e^x \cos y,e^x \sin y)$ on a neighborhood of a given point

Simplifying the integral $\int\frac{dx}{(3 + 2\sin x - \cos x)}$ by an easy approach

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