Prove the identity, assuming that Q, S, and N meet the conditions of the Divergence Theorem and that the required partial derivatives of the scalar functions and g are continuous The expressions D N and D N g are the derivatives in the direction of the vector N and are defined by DNf VfN, Dng Vg N ...

Prove the identity, assuming that Q, S, and N meet the conditions of the Divergence Theorem and

Question:

Prove the identity, assuming that Q, S, and N meet the conditions of the Divergence Theorem and that the required partial derivatives of the scalar functions ƒ and g are continuous. The expressions D_Nƒ and D_Ng are the derivatives in the direction of the vector N and are defined by