Prove the following Product Rule: [ operatorname{curl}(f mathbf{F})=f operatorname{curl}(mathbf{F})+abla f times mathbf{F} ]

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Prove the following Product Rule:
\[
\operatorname{curl}(f \mathbf{F})=f \operatorname{curl}(\mathbf{F})+abla f \times \mathbf{F}
\]

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 28, 2024 12:01 AM

Prove the following Product Rule: curl(f F) = f curl(F)+f F
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Prove the following Product Rule: [ operatorname{curl}(f mathbf{F})=f operatorname{curl}(mathbf{F})+abla f times mathbf{F} ]

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Calculus

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