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I personally was able to install Xexmenu on the USB drive using the following tutorial: â€¢ So the code below might need a bit of tweaking to. May 19, 2013 Â· Does anyone know how to set up the XexMenu Custom Drive Menu on a USB drive?. Are you using the wrong USB drive or formatting it wrong? If you don’t have an FTP set-up for you xbox doing it with.Q:

Inverse Function Theorem: If $f$ has the following property, does it also have the inverse function?

I am trying to make the following observation.
Let $f: \mathbb{R}^n \to \mathbb{R}^n$ be a differentiable function. Let $f(x_0) = x_0$ and $f(y_0) = y_0$. Suppose that there exist open sets $U, V \subseteq \mathbb{R}^n$ and an $n \times n$ invertible matrix $A$ such that
$$U \times \{x_0\} \subseteq \mathbb{R}^n, \quad V \times \{y_0\} \subseteq \mathbb{R}^n$$
$$f \begin{cases} \text{open}, & x\in U, x eq x_0 \\ y \in V, x eq y_0\end{cases}$$
where $f$ is now understood to mean applying the inverse function. We are also allowed to assume $f$ to be differentiable.
Can we say that $f^{ -1}$ exists on $U \cap V$? If this is not the case, can we say something about the problem of finding $f^{ -1}$ in other special cases?

A:

In general, the inverse function theorem does not guarantee the existence of an inverse function in all of its domain. For example, the set $\{(x,x)\in\mathbb{R}^2\mid x\in\mathbb{R}\}$ is an open subset of $\mathbb{R}^2$ but its inverse image under $f(x,y)=(x,y-x)$ is empty. More generally, a function need not have any derivative everywhere.
However

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