The tangents to Newton’s serpentine at the origin and the point
Answer to Problem 41E
The required tangents are
Explanation of Solution
Given information:
The Newton’s serpentine:
Formula used:
Differentiation formula:
Calculation:
The given Newton’s serpentine is
Differentiate the given equation using the formula
Simplify the above derivative further.
To find the slope of the tangent at the point
Thus, the slope of the line is 4.
Substitute
Now, to find the slope of the tangent at the point
Thus, the slope of the line is 0.
Now, substitute
Hence, the required tangents are
Chapter 3 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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