Study guide and 2 practice problems on:

Tangent planes to surfaces

To find the tangent plane to a surface at $\bfx_0 = (x_0, y_0, z_0)$, compute a normal vector $\bfn$. The tangent plane is given by $$\bfn \cdot \bfx = \bfn \cdot \bfx_0.$$