Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §15.5 The Divergence Theorem, #18 · Multivariable Calculus · Green, Stokes & divergence

(grad …)… is the ______ derivative of … in the direction

(grad $f$ ) $\cdot n$ is the ______ derivative of $f$ in the direction $n$ . It is also written $\partial f / \partial n$ . If $f_{xx} + f_{y y} + f_{z z} = 0$ in $V$ , derive $\iint \partial f / \partial n d S = 0$ from the Divergence Theorem.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §15.5 The Divergence Theorem, #18

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