Calculus 3 Quiz
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MULTIVARIABLE FUNCTIONS & PARTIAL DERIVATIVES
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Given
f
(
x
,
y
)
=
x
3
+
3
x
2
y
−
y
3
f(x,y) = x^3 + 3x^2y - y^3
f
(
x
,
y
)
=
x
3
+
3
x
2
y
−
y
3
, find the value of
∂
3
f
∂
x
2
∂
y
\frac{\partial^3 f}{\partial x^2 \partial y}
∂
x
2
∂
y
∂
3
f
at any point
(
x
,
y
)
(x,y)
(
x
,
y
)
.
A
6
6
6
B
6
x
6x
6
x
C
18
x
18x
18
x
D
0
0
0
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