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