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partial derivative of 4(sin(x)^2y^2-2axy^2)
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∂
∂
x
(
4
(
sin
(
x
)
)
2
y
2
−
2
axy
2
)
=
8
y
2
sin
(
x
)
cos
(
x
)
−
2
ay
2
Show Steps
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∂
∂
x
(
4
(
sin
(
x
)
)
2
y
2
−
2
axy
2
)
=
8
y
2
sin
(
x
)
cos
(
x
)
−
2
ay
2
steps
∂
∂
x
(
4
(
sin
(
x
)
)
2
y
2
−
2
axy
2
)
Treat
a
,
y
as
a
constant
Apply
the
Sum
/
Difference
Rule
:
(
f
±
g
)
′
=
f
′
±
g
′
=
∂
∂
x
(
4
(
sin
(
x
)
)
2
y
2
)
−
∂
∂
x
(
2
axy
2
)
show steps
∂
∂
x
(
4
(
sin
(
x
)
)
2
y
2
)
=
8
y
2
sin
(
x
)
cos
(
x
)
show steps
∂
∂
x
(
2
axy
2
)
=
2
ay
2
=
8
y
2
sin
(
x
)
cos
(
x
)
−
2
ay
2
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