padilla (tp5647) – Homework07 – Fouli – (58320)
1
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001
10.0 points
Find
y
′
when
xy
+ 5
x
+ 3
x
2
= 4
.
1.
y
′
=
y
+ 5 + 3
x
x
2.
y
′
=
y
+ 5 + 6
x
x
3.
y
′
=
-
(
y
+ 5 + 6
x
)
4.
y
′
=
-
y
+ 5 + 6
x
x
5.
y
′
=
5 + 3
x
-
y
x
6.
y
′
=
-
y
+ 5 + 3
x
x
002
10.0 points
Find
dy
dx
when
1
√
x
+
3
√
y
= 2
.
1.
dy
dx
= 3
parenleftBig
x
y
parenrightBig
3
/
2
2.
dy
dx
=
1
3
parenleftBig
y
x
parenrightBig
3
/
2
3.
dy
dx
=
-
1
3
parenleftBig
y
x
parenrightBig
3
/
2
4.
dy
dx
=
-
3
parenleftBig
x
y
parenrightBig
3
/
2
5.
dy
dx
= 3(
xy
)
1
/
2
6.
dy
dx
=
1
3
(
xy
)
1
/
2
003
10.0 points
Find
dy
dx
when
tan(
x
-
y
) =
x .
1.
dy
dx
=
y
2
1 +
x
2
2.
dy
dx
=
-
x
2
1 +
y
2
3.
dy
dx
=
-
y
2
1 +
x
2
4.
dy
dx
=
x
2
1 +
y
2
5.
dy
dx
=
x
2
1 +
x
2
6.
dy
dx
=
-
x
2
1 +
x
2
004
10.0 points
Find the equation of the tangent line to the
graph of
y
2
-
xy
-
6 = 0
,
at the point
P
= (1
,
3).
1.
5
y
+ 3
x
= 12
2.
5
y
= 3
x
+ 12
3.
4
y
= 3
x
+ 9
4.
y
= 3
x
5.
4
y
+ 3
x
= 9
005
10.0 points
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padilla (tp5647) – Homework07 – Fouli – (58320)
2
Find the slope of the tangent line to the
graph of
x
3
-
2
y
3
+
xy
= 0
at the point
P
(1
,
1).
1.
slope =
3
2
2.
slope =
-
5
4
3.
slope =
5
4
4.
slope =
4
5
5.
slope =
-
4
5
6.
slope =
-
2
3
006
10.0 points
The points
P
and
Q
on the graph of
y
2
-
xy
+ 6 = 0
have the same
x
-coordinate
x
= 5. Find the
point of intersection of the tangents to the
graph at
P
and
Q
.

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- Spring '09
- Fouli
- Derivative, Velocity, Padilla
-
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