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Theorem 3: Rules for Vector Derivatives

THEOREM 3 (Rules for Vector Derivatives)

Let u = h(t) be a real function and let X = F(t), Y = G(t) be vector valued functions whose derivatives at t exist.

(i) Constant Rules

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(ii) Sum Rule

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(iii) Inner Product Rule

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PROOF

We prove (iii).

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Last Update: 2006-11-05