8. One-sided directional derivative in all directions, but no gradient The one-sided directional derivative of f at P(xo, Yo, z0) in the direction u = u¡i + uzj + uzk is the number f (xo + su¡, yo + su2, zo + suz) – f (xo, Yo, zo) lim Show that the one-sided directional derivative of f(x, y, z) = Vx² + y² + z² at the origin equals 1 in any direction but that f has no gradient vector at the origin.

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx² + y2 + z2 (4,…

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Q: Use Green's Theorem in the form of this equation to prove Green's first identity, where D and C…

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