Theorem 14. Properties of the Gradient Let f and g both be real-valued functions of two or three variables that are differentiable on a common open set O. 1. Sum Rule 2. Constant Multiple Rule 3. Product Rule v(f+g) = Vf+Vg (cf)=cf for all ceR v(fg) =fvg+gVf

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A: As you asked multiple questions , so I solved only the first one.

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