rabbani (tar547) – Homework07 – Fouli – (58395)
1
This
printout
should
have
17
questions.
Multiplechoice questions may continue on
the next column or page – find all choices
before answering.
001
10.0 points
Find
y
′
when
xy
+ 3
x
+ 4
x
2
= 1
.
1.
y
′
=

y
+ 3 + 4
x
x
2.
y
′
=
y
+ 3 + 8
x
x
3.
y
′
=
3 + 4
x

y
x
4.
y
′
=
y
+ 3 + 4
x
x
5.
y
′
=

(
y
+ 3 + 8
x
)
6.
y
′
=

y
+ 3 + 8
x
x
002
10.0 points
Find
dy
dx
when
3
√
x
+
1
√
y
= 4
.
1.
dy
dx
=
1
3
parenleftBig
x
y
parenrightBig
3
/
2
2.
dy
dx
= 3(
xy
)
1
/
2
3.
dy
dx
=

3
parenleftBig
y
x
parenrightBig
3
/
2
4.
dy
dx
=
1
3
(
xy
)
1
/
2
5.
dy
dx
= 3
parenleftBig
y
x
parenrightBig
3
/
2
6.
dy
dx
=

1
3
parenleftBig
x
y
parenrightBig
3
/
2
003
10.0 points
Find
dy
dx
when
tan(2
x

y
) = 2
x .
1.
dy
dx
=
4
x
2
2 +
y
2
2.
dy
dx
=

8
x
2
1 + 4
x
2
3.
dy
dx
=

8
x
2
1 + 4
y
2
4.
dy
dx
=
8
x
2
1 + 4
x
2
5.
dy
dx
=

4
y
2
2 +
x
2
6.
dy
dx
=
8
y
2
2 +
x
2
004
10.0 points
Find the equation of the tangent line to the
graph of
2
y
2

xy

3 = 0
,
at the point
P
= (5
,
3).
1.
7
y
= 3
x
+ 6
2.
7
y
+ 3
x
= 6
3.
2
y
=
x
+ 1
4.
5
y
= 3
x
5.
2
y
+
x
= 1
005
10.0 points
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
rabbani (tar547) – Homework07 – Fouli – (58395)
2
Find the slope of the tangent line to the
graph of
2
x
3
+
y
3
+
xy
= 0
at the point
P
(1
,

1).
1.
slope =

2
3
2.
slope =

4
5
3.
slope =
5
4
4.
slope =
4
5
5.
slope =

5
4
6.
slope =
3
2
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
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '08
 JOUVE
 Derivative, Velocity, Rabbani

Click to edit the document details