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Calculus
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Multivariable Calculus
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Mixed Second Partial Derivative
hard
Difficulty: hard
∇ Multivariable Calculus
·
28 pts
·
0 solved
Mixed Second Partial Derivative
Problem Statement
Find
∂
2
f
∂
x
∂
y
for
f
(
x
,
y
)
=
x
2
y
3
+
sin
(
x
y
)
\text{Find } \frac{\partial^2 f}{\partial x \partial y} \text{ for } f(x,y) = x^2y^3 + \sin(xy)
Find
∂
x
∂
y
∂
2
f
for
f
(
x
,
y
)
=
x
2
y
3
+
sin
(
x
y
)
Your Answer (variables: x, y)
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Tips
Use standard math syntax:
^
for powers,
*
for multiplication.
Functions: sin, cos, tan, exp, log (natural log), sqrt.
Constants: pi, e.
For antiderivatives you can omit "+ C".
