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"# Machine Learning\n",
"## Gradient and Tangent Planes\n",
"Given a hypersurface by $f(\\boldsymbol{x})=constant$, its gradient $\\nabla f$ is orthogonal to the hypersurface. Thus, the tangent hyperplane at point $\\boldsymbol{x}_0$ is obtained by:
\n",
"$\\nabla f(\\boldsymbol{x}_0)\\cdot (\\boldsymbol{x}-\\boldsymbol{x}_0)=0$\n",
"