Multivariable Calculus Quiz
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PARTIAL DERIVATIVES
Question 1
of 10
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A surface is defined implicitly by the equation
x
ln
(
y
)
+
y
z
3
+
z
x
=
11
x\ln(y) + yz^3 + z\sqrt{x} = 11
x
ln
(
y
)
+
y
z
3
+
z
x
=
11
. Find the value of the partial derivative
∂
z
∂
x
\frac{\partial z}{\partial x}
∂
x
∂
z
at the point
(
4
,
1
,
2
)
(4, 1, 2)
(
4
,
1
,
2
)
.
A
1
/
28
1/28
1/28
B
−
1
/
28
-1/28
−
1/28
C
−
28
-28
−
28
D
−
6
/
7
-6/7
−
6/7
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