(a)
To find : slope of the folium of Descartes at indicated points.
(a)
Answer to Problem 55E
Slope at
Explanation of Solution
Given information :
The equation of the folium of Descartes is
Formula needed :
Power rule of derivative:
Product rule of derivative:
Slope of curve is
Differentiate
Solve further,
Substitute
Substitute
(b)
To find : point other than origin that have horizontal tangent.
(b)
Answer to Problem 55E
The other coordinate is
Explanation of Solution
Given information :
The equation of the folium of Descartes is
Formula needed :
Power rule of derivative:
Product rule of derivative:
For horizontal tangents,
Differentiate
Solve further,
For horizontal tangents,
Substitute
Substitute
The coordinate is
(c)
To find : point that have vertical tangent.
(c)
Answer to Problem 55E
The coordinate is
Explanation of Solution
Given information :
The equation of the folium of Descartes is
Formula needed :
Power rule of derivative:
Product rule of derivative:
For vertical tangents,
Differentiate
Solve further,
For vertical tangents,
Substitute
Substitute
The coordinate is
Chapter 3 Solutions
CALCULUS-W/XL ACCESS
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