Example 4-5-2 - Maple Help
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Chapter 4: Partial Differentiation

Section 4.5: Gradient Vector

Example 4.5.2

Let w=x2+2 y2+3 z2 and let P be the point 1,1,1.


Obtain w at P.


On the same set of axes, graph the level surface w=6 and w at P.


At P, show that 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.

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