List questions from inverse-function-theorem

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

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47

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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

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80

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

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98

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Fulfilling conditions of Inverse function(?)

Published on 27 Mar 2026 - 9:32

441

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Given that derivative of a function is bounded. Prove surjectivity

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37

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Misuse of inverse function theorem

Published on 27 Mar 2026 - 6:00

61

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

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61

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Differential of inverse function to a tubular neighborhood

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3.8k

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

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91

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Inverse function theorem to prove onto

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200

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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 25 Mar 2026 - 7:53

671

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Implicit function theorem implies inverse function theorem proof

Published on 25 Mar 2026 - 7:49

196

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Higher order Inverse Function Theorem

Published on 27 Mar 2026 - 7:46

367

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real analytic inverse function theorem

Published on 27 Mar 2026 - 7:18

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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