Worksheet 2.7 - Implicit Differentiation - Calculus Maximus Page 3
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7Calculus Maximus
WS 2.7: Implicit Differentiation
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4. The graph of the equation
y
y
x
is shown at right.
dy
2
x
(a) Verify that
. Show the work that leads to your answer.
3
dx
2
y
4
y
(b) Find the point(s)
, x y at which the graph has a horizontal tangent line.
Show the work that leads to your answer.
Graph generated by WolframAlpha
(c) Find the y-value(s) which the graph has a vertical tangent line. Show the work that leads to your
answer.
dy
(d) While the graph exists at
0, 0 , the slope does not. Using
, explain why this is so.
dx
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