Calculus Maximus
WS 2.7: Implicit Differentiation
3
2
dy
_____ 10. Find
when
4
dx
x
y
3 / 2
dy
3
y
(A)
dx
2
x
dy
3
1/ 2
(B)
xy
dx
2
3 / 2
dy
2
x
(C)
dx
3
y
3 / 2
dy
2
x
(D)
dx
3
y
3 / 2
dy
3
y
(E)
dx
2
x
2
_____ 11. Find the equation of the tangent line to the graph of
y
xy
12 0
at the point
1, 4 .
(A) 3
y
2
x
10
(B) 3
y
2
x
10
(C)
y
4
x
(D) 7
y
4
x
24
(E) 7
y
4
x
24
x . The
2
_____ 12. The points P and Q on the graph of
y
xy
8 0
have the same x-coordinate,
6
point of intersection of the tangents to the graph at P and Q is
8 16
(A)
,
3 3
16 8
(B)
,
3 3
16 16
(C)
,
3 3
8 8
(D)
,
3 3
8 2
(E)
,
3 3
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