Gradient

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The gradient of a function $f(x,y,z)$ is the vector \[\nabla f(x,y,z) =   \begin{bmatrix}            \dfrac{\partial f(x,y,z)}{\partial x} \\            \dfrac{\partial f(x,y,z)}{\partial y} \\            \dfrac{\partial f(x,y,z)}{\partial z} \\           \end{bmatrix}\]