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Does $\mathbb{R}^{p}$ is differentiable at $\omega$?

I want to know if $\mathbb{R}^{p}$ is differentiable at $\omega$.
Consider the function $f: \mathbb{R}^{p} \to \mathbb{R}$ given by $f(x_1,\dots,x_p) = \sqrt{x_1^{2} + \cdots + x_p^{2}}$ if $x_1,\dots,x_p
eq 0$ and $f(0) = 0$. I want to know if $
abla f(\omega)$ is invertible, for any point $\omega = (\omega_1,\dots,\omega_p) \in \mathbb{R}^{p}$.

Attempt:
Is just using the definition of differentiability, $\omega$ is differentiable. Now, I want to prove that for all $v \in \mathbb{R}^{p}$, $\langle
abla f(\omega),v\rangle = 0$.
From the definition of gradient, we have that, $
abla f(x) = (2x_1,\dots
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Watch Iron Man 3 Hindi in 1080p, 720p and 4K Ultra HD.. Home » Download Videos » Iron Man 3 .
You can download this dual audio movie in. ISO files and BD5 dual audio and BD5 English audio movie Iron Man 3 and put them in your desktop or another media.
. Hindi-English Dual Audio – Iron Man 3 (2013) 4K Download. Iron Man 2008 BRRip 720p Dual Audio Hindi English Download, Dual Audio Ip .
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Exclusive HD Download the hottest free movies at the biggest video network in the world for free.Q:

Does $\mathbb{R}^{p}$ is differentiable at $\omega$?

I want to know if $\mathbb{R}^{p}$ is differentiable at $\omega$.
Consider the function $f: \mathbb{R}^{p} \to \mathbb{R}$ given by $f(x_1,\dots,x_p) = \sqrt{x_1^{2} + \cdots + x_p^{2}}$ if $x_1,\dots,x_p
eq 0$ and $f(0) = 0$. I want to know if $
abla f(\omega)$ is invertible, for any point $\omega = (\omega_1,\dots,\omega_p) \in \mathbb{R}^{p}$.

Attempt:
Is just using the definition of differentiability, $\omega$ is differentiable. Now, I want to prove that for all $v \in \mathbb{R}^{p}$, $\langle
abla f(\omega),v\rangle = 0$.
From the definition of gradient, we have that, $
abla f(x) = (2x_1,\dots
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