To calculate: The value of
Answer to Problem 37E
The value of
Explanation of Solution
Given information:
The function is.
Concept used:
The function will be continuous at a point if the right hand limit, left hand limit and limit at that point are equal.
The function is said to be differentiable when the right hand derivative and left hand derivative are equal.
Calculation:
The function is
Continuity at
The limit at
The right hand limit is as shown below.
The left hand limit is as shown below.
Equate the limits for the value of
Substitute
Check the differentiability for the function
The right hand derivative is as shown below.
The left hand derivative is as shown below.
Conclusion: The function is not differentiable at
Chapter 2 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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