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Let's look at the definition of gradient: In vector calculus, the gradient of a scalar-valued differentiable function $f$ of several variables is the vector field (or vector-valued function) $\nabla f$ whose value at a point $p$ is the vector $r^{[a]}$ whose components are the partial derivatives of $f$ at $p .^{[1][2][3][4][5][6][7][8][9]}$ That is, for $f:...

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