The Gradient
Figure 1 above displays a set of curves,
(in other words, contour curves for some function
).
Problem
17:
At each of the points A, B, and C, draw a vector in the
direction of
at that point. (At each point, with the left mouse button
depressed, use the mouse to draw an arrow. Then click on
"Answers" to see the correct answers.)
Answer
Problem
18:
At which of the points does
have the largest value? Explain. (HINT: Read carefully
the definition of the gradient.)
Answer
Problem
19:
If you had an explicit expression for
, how would you answer the previous two questions?
Answer
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