To calculate: The horizontal tangents of the curve.
Answer to Problem 8E
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.
To find the roots of the above expression, use the quadratic formula
Substitute
Simplify the above expression further.
Thus, the roots of the expression are
Hence, the required horizontal tangents of the curve are
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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