Question: How is the derivative of a differentiable function (x, y, z) at a point P 0 in the direction of a unit vector u related

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

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