To find: Why neither function is differentiable at
Explanation of Solution
Given information: Recall that the numerical derivative
The corresponding derivatives of the functions
The above numerical derivatives tend to infinity and become undefined at
Hence, neither function is differentiable at
To find: NDER at
Answer to Problem 38E
Undefined
Explanation of Solution
Given information: Recall that the numerical derivative
Since NDER for both the functions
To find: Why NDER returns wrong responses that are so different from each other for these two functions.
Explanation of Solution
Given information: By analyzing the definition of the symmetric difference quotient, explain why NDER returns wrong responses that are so different from each other for these two functions.
NDER returns wrong responses that are so different from each other for these two functions as the numerical derivatives of the functions tends to have a very large value of order
Chapter 2 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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