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Multivariable Calculus
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Partial Derivative of an Exponential
medium
Difficulty: medium
∇ Multivariable Calculus
·
16 pts
·
0 solved
Partial Derivative of an Exponential
Problem Statement
Find
∂
f
∂
x
for
f
(
x
,
y
)
=
e
x
y
\text{Find } \frac{\partial f}{\partial x} \text{ for } f(x,y) = e^{xy}
Find
∂
x
∂
f
for
f
(
x
,
y
)
=
e
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".
