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