To calculate: The horizontal tangents of the curve.
Answer to Problem 9E
The required horizontal tangents of the curve are
Explanation of Solution
Given information:
The curve:
Formula used:
Power rule:
Quadratic formula:
The roots of the
Calculation:
The given curve is
Use the power rule on the above curve.
Now, to find the horizontal tangents of the given curve, set the above derivative equal to zero.
Factorize the above expression.
Simplify the above expression for x .
And,
Thus, the roots of the expression are
Hence, the required horizontal tangents of the curve are
Chapter 3 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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