Worksheet 2.7 - Implicit Differentiation - Calculus Maximus Page 2

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Calculus Maximus
WS 2.7: Implicit Differentiation
dy
2. Find
at the indicated point, then find the equation of the indicated line at the point.
dx
2
x
4
3
2
3
3
(a)
y
at
2, 0 , tangent line
(b)
x y
x
y
at
1,1
, normal line
2
x
4
2
d y
3. Find
in terms of x and y.
2
dx
 
3
2
2
3
(a) 1 xy
x y
(b)
x
y
1
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