a.
To find: The value of
a.
Answer to Problem 42E
The value is
Explanation of Solution
Given information:
The function is
Concept used:
The left-hand derivative is given by the formula
Calculation:
Here, in the piece wise function the value of
Substitute the values in the formula,
Conclusion: The value of
b.
To find: The value of
b.
Answer to Problem 42E
The value is
Explanation of Solution
Given information:
The function is
Concept used:
The right-hand derivative is given by the formula
Calculation:
Here, in the piece wise function the value of
Substitute the values in the formula,
Conclusion: The value of
c.
To find: The value of
c.
Answer to Problem 42E
The value is
Explanation of Solution
Given information:
The function is
Concept used:
The left-hand derivative is given by the formula
Calculation:
Here, in the piece wise function the value of
Substitute the values in the formula,
Substitute the values in the formula,
Conclusion: The value of
d.
To find: The value of
d.
Answer to Problem 42E
The value is
Explanation of Solution
Given information:
The function is
Concept used:
The right-hand derivative is given by the formula
Calculation:
Here, in the piece wise function the value of
Substitute the values in the formula,
Substitute the values in the formula,
Conclusion: The value of
e.
To find: Existence of
e.
Answer to Problem 42E
The
Explanation of Solution
Given information:
The function is
Concept used:
If
Calculation:
Value of
Value of
Conclusion: The value of
f.
To find: The value of left hand derivative.
f.
Answer to Problem 42E
The value of left-hand derivative is
Explanation of Solution
Given information:
The function is
Concept used:
The left-hand derivative is given by the formula
Calculation:
Here, in the piece wise function the value of
Substitute the values in the formula,
Conclusion: The value of left-hand derivative of the function is
g.
To find: The value of right hand derivative.
g.
Answer to Problem 42E
The value of right-hand derivative is
Explanation of Solution
Given information:
The function is
Concept used:
The left-hand derivative is given by the formula
Calculation:
Here, in the piece wise function the value of
Substitute the values in the formula,
Conclusion: The value of right hand derivative is not defined.
h.
To find: Existence of
h.
Answer to Problem 42E
The derivative does not exist.
Explanation of Solution
Given information:
The function is
Concept used:
If the left hand derivative and right hand derivative exists and is equal then the derivative exists.
Calculation:
Here, in the piece wise function the value of
Substitute the values in the formula,
Here, in the piece wise function the value of
Substitute the values in the formula,
Conclusion: The derivative does not exist.
Chapter 2 Solutions
CALCULUS-W/XL ACCESS
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