VC3.1

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\nabla f = [i\frac{\partial}{\partial x}+j\frac{\partial }{\partial y}+k\frac{\partial}{\partial z}](x^3+y^3+z^3+3xyz)\,

=i\frac{\partial}{\partial x}(x^3+y^3+z^3+3xyz)+j\frac{\partial}{\partial y}(x^3+y^3+z^3+3xyz)+k\frac{\partial}{\partial z}(x^3+y^3+z^3+3xyz)\,

=i(3x^2+3yz)+j(3y^2+3xz)+k(3z^2+3xy)\,

=3[(x^2+yz)i+(y^2+xz)j+(z^2+xy)k]\,

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