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implicit derivative of (dy)/(dx), x^2y-x/y =-2
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ImplicitDerivative
dy
dx
of
x
2
y
−
x
y
=
−
2
:
−
2
xy
3
+
y
x
(
1
+
xy
2
)
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Implicit
Derivative
dy
dx
of
x
2
y
−
x
y
=
−
2
:
−
2
xy
3
+
y
x
(
1
+
xy
2
)
steps
x
2
y
−
x
y
=
−
2
Treat
y
as
y
(
x
)
show steps
Differentiate
both
sides
:
2
xy
+
dy
dx
x
2
−
y
−
x
dy
dx
y
2
=
0
show steps
Isolate
dy
dx
:
dy
dx
=
−
2
xy
3
+
y
x
(
1
+
xy
2
)
dy
dx
=
−
2
xy
3
+
y
x
(
1
+
xy
2
)
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