Whether the given function
Answer to Problem 15E
The given function
Explanation of Solution
Given information:
The given function is
Formula Used:
Differentiable function formula:
The differentiable function formulas to find the left hand derivative and right hand derivative are
Left hand derivative
Calculation:
The given function is:
The given function can be written as:
To find the Left hand derivative, use the differentiable function formula.
Substitute
Simplify the above limit further.
Again, to find the Right hand derivative, use the differentiable formula
Substitute
Simplify the above limit further.
It is seen that the slopes on the left hand derivative and right hand derivative at
Thus, the results of the limit indicate that the given function is a corner.
The graph of the function
Hence, the given function
Chapter 3 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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