How is the derivative of a differentiable function (x, y, z) at a point P 0 in

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How is the derivative of a differentiable function ƒ(x, y, z) at a point P₀ in the direction of a unit vector u related to the scalar component of (∇ƒ)_P₀ in the direction of u? Give reasons for your answer.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: May 08, 2023 02:40 AM

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How is the derivative of a differentiable function (x, y, z) at a point P 0 in

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Lets denote the gradient of the function xyz at the point P0 as P0 which is a vector that points in ...View the full answer

Thomas Calculus Early Transcendentals

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