Worksheet 2.7 - Implicit Differentiation - Calculus Maximus Page 5

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Calculus Maximus
WS 2.7: Implicit Differentiation
 
7. Find the equations of the normal lines to the curve
xy
2
x y
0
that are parallel to the line
 
2
x y
0
 
8. The slope of the tangent line is 1  at the point
 , where k and a
3
3
0,1 on the graph of
x
6
xy ky
a
are constants. The values of the constants a and k are what?
Multiple Choice
_____ 9. Find y  when
 .
2
xy
5
x
2
x
4
5 2x y
 
(A)
y
x
 
y
5 4
x
  
(B)
y
x
  
 
(C)
y
y
5 4
x
 
y
5 2
x
  
(D)
y
x
 
y
5 4
x
 
(E)
y
x
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