Directional derivatives and scalar components How is the

Chapter 13, Problem 37E

(choose chapter or problem)

Directional derivatives and scalar components

How is the derivative of a differentiable function \(f(x,y,z)\) at a point  in the direction of a unit vector \(u\) related to the scalar component of \((\nabla f)_{P_{0}}\) in the direction of \(u\)? Give reasons for your answer.

Equation Transcription:

ƒ(x, y, z)

(∇f)

Text Transcription:

ƒ(x, y, z)

P_0

u

(nambla f)_P_0

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