Concept explainers
a.
Determine where the function is differentiable.
a.
Answer to Problem 57RE
Differentiable for
Explanation of Solution
Given information: Given function is
Calculation:
When
The left and right hand limits both equal 2 so
So,
The function is then continuous for (-1,3) since the two pieces of the domain were (-1,1) and (1,3) and it was continuous at x =1.
b.
Determine where the function is continuous but not differentiable.
b.
Answer to Problem 57RE
Continuous but not differentiable at x =1. .
Explanation of Solution
Given information: Given function is
Calculation:
The left and right hand limits are not equal so
c.
Determine where the function neither continuous nor differentiable.
c.
Answer to Problem 57RE
Neither continuous nor differentiable,nowhere.
Explanation of Solution
Given information: Given function is
Calculation:
In summary
Chapter 4 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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