Example 4-5-2 - Maple Help



Chapter 4: Partial Differentiation





Example 4.5.2



Let  and let P be the point $\left(1,1,1\right)$.

 a) Obtain $\nabla w$ at P.
 b) On the same set of axes, graph the level surface $w=6$ and $\nabla w$ at P.
 c) At P, show that $\nabla w$ is orthogonal to the level surface $w=6$. Hint: Show that this gradient is orthogonal to the $x$- and $y$-coordinate curves through P.