Use the contour diagram of f to decide if the specified directional derivative is positive, negative, or approximately zero. 2.4 16 ? 1. At the point (-1,1) in the direction of 6.0 0.8 (-i +j)/v2, 0.8 2. At the point (0, –2) in the direction of -1.6 4.0 (i – 25)/5, 2.4 -2.4 -1.6 -0.8 0.8 16 ? 3. At the point (-2, 2) in the direction of i, (Click graph to enlarge) ? 4. At the point (-1,1) in the direction of (-i - 3)/v2, ? 5. At the point (0, 2) in the direction of j, ? 6. At the point (1,0) in the direction of -j, 12.0 10.0 12.0 10.0 10.0 12.0 10.0 12.0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Use the contour diagram of f to decide if the specified
directional derivative is positive, negative, or approximately zero.
2.4
1.6
1. At the point (-1,1) in the direction of
0.8
of
(-i +3)/v2,
-0.8
v 2. At the point (0, –2) in the direction of
-1.6
4.0
12.0
-2.4
(i – 2j)//5,
-2.4
-1.6
-0.8
0.8
1.6
2.4
(Click graph to enlarge)
?
3. At the point (-2, 2) in the direction of i,
4. At the point (-1,1) in the direction of
|
(-i - 5)/v2,
5. At the point (0, 2) in the direction of j,
6. At the point (1,0) in the direction of - j,
12.0
10.0
12.0
10.0
10.0
8.0
10.0
12.0
Transcribed Image Text:Use the contour diagram of f to decide if the specified directional derivative is positive, negative, or approximately zero. 2.4 1.6 1. At the point (-1,1) in the direction of 0.8 of (-i +3)/v2, -0.8 v 2. At the point (0, –2) in the direction of -1.6 4.0 12.0 -2.4 (i – 2j)//5, -2.4 -1.6 -0.8 0.8 1.6 2.4 (Click graph to enlarge) ? 3. At the point (-2, 2) in the direction of i, 4. At the point (-1,1) in the direction of | (-i - 5)/v2, 5. At the point (0, 2) in the direction of j, 6. At the point (1,0) in the direction of - j, 12.0 10.0 12.0 10.0 10.0 8.0 10.0 12.0
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