To calculate: The points on the curve where the tangent is parallel to the x -axis.
Answer to Problem 39E
The required points are
Explanation of Solution
Given information:
The curve:
Formula used:
Power rule:
Calculation:
The given curve is
To find the points on the curve where the tangent is parallel to the curve, differentiate the given curve.
Use the power rule of differentiation
Now, set the above derivative equal to 0 and simplify for x .
Simplify further.
Solve for x .
And,
So, the values of x are
Substitute
Substitute 2 for x in the curve (1) and simplify.
Thus, for
And for
Hence, the required points are
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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