a.
To calculate: The points where the function is differentiable.
a.
Answer to Problem 9E
The function is differentiable at every point of the domain
Explanation of Solution
Given information:
The domain is
Concept used:
If a function is differentiable at a point it will also be continuous at that point.
If a function is continuous at a point then it may or may not be differentiable.
Calculation:
From the graph it is clear that the graph is not differentiable at
Conclusion: The function is differentiable at every point of the domain
b.
To calculate: The function is continuous but not differentiable.
b.
Answer to Problem 9E
The point where the function is continuous but not differentiable is
Explanation of Solution
Given information:
The domain is
Concept used:
If a function is continuous but not differentiable it can have corner, cusp or vertical tangent.
Calculation:
The graph has continuity at
Conclusion: The continuous point is
c.
To calculate: The function is neither continuous nor differentiable.
c.
Answer to Problem 9E
The points where the function is neither continuous nor differentiable are
Explanation of Solution
Given information:
The domain is
Concept used:
If a function is differentiable at a point it will also be continuous at that point.
If a function is continuous at a point then it may or may not be differentiable.
Calculation:
There are no points at which the function is neither continuous nor differentiable.
Conclusion:
There are no points where the function is neither continuous nor differentiable
Chapter 2 Solutions
CALCULUS-W/XL ACCESS
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