Calculus Worksheet Page 6

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2
3
12. (2000, AB/BC-5) Consider the curve given by
xy
x y
 .
6
2
2
dy
3
x y y
(a) Show that
.
3
dx
2
xy x
(b) Find all the points on the curve whose x-coordinate is 1, and write an equation for the tangent line
at each of these points.
(c) Find the x-coordinate of each point on the curve where the tangent line is vertical.

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