Question: Let n be the outward pointing unit normal vector to a simple closed curve C. The normal derivative of a function (, denoted (( /

Let n be the outward pointing unit normal vector to a simple closed curve C. The normal derivative of a function (, denoted (( / (n, is the directional derivative Dn (() = (( ( n. Prove that

Where D is the domain enclosed by a simple closed curve C. Hint: Let F = ˆ‡Ï•. Show that ((/(n = F* (T where T is the unit tangent vector, and apply Green's Theorem?

ds c on

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