Concept explainers
(a)
The domain points of the given function appear to be differentiable.
(a)
Answer to Problem 6E
The required domain points of the given function appears to be differentiable is
Explanation of Solution
Given information:
The given function is:
And, the domain points is
The given function is:
Since, from the figure it is seen that the function
Also, there are no vertical tangents, corners, or cusps.
Thus, the function
Hence, the required domain of the function appears to be differentiable is
(b)
The domain points of the given function appear to be continuous but not differentiable.
(b)
Answer to Problem 6E
The required domain of the given function appears to be continuous but not differentiable is none.
Explanation of Solution
Given information:
The given function is:
And, the domain points is
The given function is:
From the results (a) it is seen that the function
Thus, there are no points where it is continuous but not differentiable.
Hence, the required domain of the function whether the function appears to be continuous but not differentiable is none.
(c)
The domain of the given function appear neither continuous nor differentiable.
(c)
Answer to Problem 6E
The required domain of the given function appears to be neither continuous nor differentiable is none.
Explanation of Solution
Given information:
The given function is:
And, the domain points is
The given function is:
From the results (a) the function is shown to be differentiable in its domain at all points. And it is also continuous on its domain.
So, there are no points where the given function appears neither continuous nor differentiable.
Hence, the required domain of the given function appears neither continuous nor differentiable.
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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