Multivariable Calculus Quiz
13 questions · no time limit
0:00
Finish quiz
PARTIAL DERIVATIVES
Question 1
of 13
Flag for review
No time limit
Current
Answered
Flagged
Not seen
Find the directional derivative of the function
f
(
x
,
y
,
z
)
=
x
2
+
y
2
+
z
2
f(x,y,z) = \sqrt{x^2+y^2+z^2}
f
(
x
,
y
,
z
)
=
x
2
+
y
2
+
z
2
at the point
P
(
1
,
2
,
2
)
P(1,2,2)
P
(
1
,
2
,
2
)
in the direction of the vector from
P
P
P
to
Q
(
3
,
1
,
0
)
Q(3,1,0)
Q
(
3
,
1
,
0
)
.
A
−
4
/
3
-4/3
−
4/3
B
−
4
/
9
-4/9
−
4/9
C
8
/
9
8/9
8/9
D
1
1
1
YOUR PROGRESS
13
QUESTIONS
Ready when you are
Answer in any order. Your progress shows here as you go.
QUESTIONS
1
2
3
4
5
6
7
8
9
10
11
12
13
KEYBOARD
Pick an answer
A
B
C
D
Next question
↵
→
Previous
←
Flag for review
F