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  "body": "\n## Summary\n\nLet $f$ be a [[differentiable|0HHHDCXZV4]] real-valued function on an open subset of $\\mathbb{R}^n$. Its gradient at a point $a$ is the vector $\\nabla f(a)$ of its [[partial derivatives|09EGC6F8PT]] at $a$.\nIt points in the direction in which $f$ increases fastest, and its length is that fastest rate of increase.\nThe derivative of $f$ at $a$ is the dot product with the gradient: $Df(a)(v) = \\nabla f(a) \\cdot v$.\n",
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