(a)
To find: The pointswhere the tangent is parallel to the x- axis.
(a)
Answer to Problem 50E
The points which make the tangent parallel to the x- axis are
Explanation of Solution
Given Information: The equation of the curve is
Calculation:
The points where the tangent is parallel to the x- axis are the points where
The derivative of the curve is,
Equate
The tangent is parallel to the x- axis at
Substitute
Hence, the points are
(b)
To find: The points where the tangent is parallel to the y- axis.
(b)
Answer to Problem 50E
The points which make the tangent parallel to the y- axis are
Explanation of Solution
Given Information: The equation of the curve is
Calculation:
The points where the tangent is parallel to the y- axis are the points where
The derivative of the curve is,
Equate
The tangent is parallel to the y- axis at
Substitute
Hence, the points are
Chapter 4 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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