To prove: That the function
Answer to Problem 4E
The required point where
Explanation of Solution
Given Information:
The graph of the function
Formula Used:
Differentiable function formula:
The differentiable function formulas to find the left hand derivative and right hand derivative are
Left hand derivative
Calculation:
From the given graph it is seen that on either side
Consider both slopes are sided functional derivatives.
So, the limits are not equal.
To find the Left hand derivative, use the differentiable function formula.
Substitute
Again, to find the Right hand derivative, use the differentiable function formula.
Substitute
Simplify the above limit further.
Since, the limits are not equal;
So, the function is not differentiable at the point
Hence, the required point where
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic
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