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implicit derivative of y=sin (3x+4y)
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ImplicitDerivative
dy
dx
of
y
=
sin
(
3
x
+
4
y
)
:
3
cos
(
3
x
+
4
y
)
1
−
4
cos
(
3
x
+
4
y
)
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Implicit
Derivative
dy
dx
of
y
=
sin
(
3
x
+
4
y
)
:
3
cos
(
3
x
+
4
y
)
1
−
4
cos
(
3
x
+
4
y
)
steps
y
=
sin
(
3
x
+
4
y
)
Treat
y
as
y
(
x
)
show steps
Differentiate
both
sides
:
dy
dx
=
cos
(
3
x
+
4
y
)
(
3
+
4
dy
dx
)
show steps
Isolate
dy
dx
:
dy
dx
=
3
cos
(
3
x
+
4
y
)
1
−
4
cos
(
3
x
+
4
y
)
dy
dx
=
3
cos
(
3
x
+
4
y
)
1
−
4
cos
(
3
x
+
4
y
)
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