List questions from inverse-function-theorem

Published on 15 Mar 2026 - 19:37

621

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Given a function $f:\mathbb{R}^2 \to \mathbb{R}^2$, to find its inverse near a given point

Published on 08 Nov 2018 - 13:28

46

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Given a function $f:\mathbb{R}^2 \to \mathbb{R}^2$, to find derivative of its inverse at a given point

Published on 11 Nov 2018 - 17:17

79

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Reference request for worked-out examples (solutions) on multivariable calculus (in particular inverse and implicit function theorem)

Published on 11 Nov 2018 - 22:30

97

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Fulfilling conditions of Inverse function(?)

Published on 25 Mar 2026 - 6:01

441

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Given that derivative of a function is bounded. Prove surjectivity

Published on 25 Mar 2026 - 4:38

35

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Misuse of inverse function theorem

Published on 02 Dec 2018 - 19:37

60

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Inverse Function Theorem (Domain, one-to-one, application)

Published on 19 Dec 2018 - 11:50

60

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Differential of inverse function to a tubular neighborhood

Published on 03 Jan 2019 - 22:29

3.8k

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A function with a non-zero derivative, with an inverse function that has no derivative.

Published on 06 Jan 2019 - 22:37

90

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Inverse function theorem to prove onto

Published on 20 Jan 2019 - 17:00

199

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If $f$ is $C^1$ s. t. $\Vert f(x) - f(y) \Vert \geq k \Vert x - y \Vert$, then $f$ is a diffeomorphism of $\mathbb{R}^{n}$

Published on 23 Jan 2019 - 20:56

670

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Implicit function theorem implies inverse function theorem proof

Published on 26 Jan 2019 - 0:46

194

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Higher order Inverse Function Theorem

Published on 20 Feb 2019 - 8:34

365

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real analytic inverse function theorem

Published on 27 Feb 2019 - 17:17

List Question

Sufficient conditions for a continuos function $f$ to be $C^1$

Given a function $f:\mathbb{R}^2 \to \mathbb{R}^2$, to find its inverse near a given point

Given a function $f:\mathbb{R}^2 \to \mathbb{R}^2$, to find derivative of its inverse at a given point

Reference request for worked-out examples (solutions) on multivariable calculus (in particular inverse and implicit function theorem)

Fulfilling conditions of Inverse function(?)

Given that derivative of a function is bounded. Prove surjectivity

Misuse of inverse function theorem

Inverse Function Theorem (Domain, one-to-one, application)

Differential of inverse function to a tubular neighborhood

A function with a non-zero derivative, with an inverse function that has no derivative.

Inverse function theorem to prove onto

If $f$ is $C^1$ s. t. $\Vert f(x) - f(y) \Vert \geq k \Vert x - y \Vert$, then $f$ is a diffeomorphism of $\mathbb{R}^{n}$

Implicit function theorem implies inverse function theorem proof

Higher order Inverse Function Theorem

real analytic inverse function theorem

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