Paul Notes Calculus 3 =link= Site

For a surface $z = f(x, y)$ at point $(x_0, y_0)$: $$z = f(x_0, y_0) + f_x(x_0, y_0)(x - x_0) + f_y(x_0, y_0)(y - y_0)$$

In Calc 3, we extend the 2D plane ($xy$) to 3D space ($xyz$). paul notes calculus 3