2. Calculate the directional derivative o the give Ion J al te vel po TTnar1 TIT the given vector v. -L X 2 1 *(a) f x* + ху, а 2 1 (b) f x2+xy, a V= 1 -1 0 V = 1 x- 3 (c) f = ye, a = x 4 X 0 1 3 (d) f = ye, a= 1 4 3. For each of the following functions f and points a, find the unit vector v with the property that Dy f (a) is as large as possible. -0-p0-10 2 х* + ху, а — 1 X X *(a) f (c) fy +-+ y У X 0 = ye*, a = X (b) f 2
2. Calculate the directional derivative o the give Ion J al te vel po TTnar1 TIT the given vector v. -L X 2 1 *(a) f x* + ху, а 2 1 (b) f x2+xy, a V= 1 -1 0 V = 1 x- 3 (c) f = ye, a = x 4 X 0 1 3 (d) f = ye, a= 1 4 3. For each of the following functions f and points a, find the unit vector v with the property that Dy f (a) is as large as possible. -0-p0-10 2 х* + ху, а — 1 X X *(a) f (c) fy +-+ y У X 0 = ye*, a = X (b) f 2
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I need help for problem 3a. Thanks!
![2. Calculate the directional derivative o the give
Ion
J
al te
vel po
TTnar1 TIT
the given vector v.
-L
X
2
1
*(a) f
x* + ху, а
2
1
(b) f
x2+xy, a
V=
1
-1
0
V =
1
x-
3
(c) f
= ye, a =
x
4
X
0
1
3
(d) f
= ye, a=
1
4
3. For each of the following functions f and points a, find the unit vector v with the property that
Dy f (a) is as large as possible.
-0-p0-10
2
х* + ху, а —
1
X
X
*(a) f
(c) fy
+-+
y
У
X
0
= ye*, a =
X
(b) f
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a3b0a85-5819-488a-b640-64960995ba98%2F92c44d9f-c7a9-4f41-9fda-8f55bef7755c%2Ftw6yg8.jpeg&w=3840&q=75)
Transcribed Image Text:2. Calculate the directional derivative o the give
Ion
J
al te
vel po
TTnar1 TIT
the given vector v.
-L
X
2
1
*(a) f
x* + ху, а
2
1
(b) f
x2+xy, a
V=
1
-1
0
V =
1
x-
3
(c) f
= ye, a =
x
4
X
0
1
3
(d) f
= ye, a=
1
4
3. For each of the following functions f and points a, find the unit vector v with the property that
Dy f (a) is as large as possible.
-0-p0-10
2
х* + ху, а —
1
X
X
*(a) f
(c) fy
+-+
y
У
X
0
= ye*, a =
X
(b) f
2
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