Multivariable Calculus Quiz
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Question 1
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Consider the function
g
(
x
,
y
)
=
ln
(
x
2
+
y
2
)
+
arctan
(
y
/
x
)
g(x,y) = \ln(x^2 + y^2) + \arctan(y/x)
g
(
x
,
y
)
=
ln
(
x
2
+
y
2
)
+
arctan
(
y
/
x
)
for
x
>
0
x > 0
x
>
0
. What is
∂
2
g
∂
x
2
+
∂
2
g
∂
y
2
\frac{\partial^2 g}{\partial x^2} + \frac{\partial^2 g}{\partial y^2}
∂
x
2
∂
2
g
+
∂
y
2
∂
2
g
at the point
(
1
,
1
)
(1,1)
(
1
,
1
)
?
A
−
1
-1
−
1
B
0
0
0
C
1
1
1
D
2
2
2
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