23. The function f(x) =x has an absolute minimum value at x 0 even though f is not differentiable at x = 0. Is this consistent with the first derivative theorem for local extreme values? Give reasons for your answer. Choose the correct answer below. A. Yes, this is consistent with the first derivative theorem for local extreme values because a function f can possibly have an extreme value at interior points where f' is undefined. B. Yes, this is consistent with the first derivative theorem for local extreme values because there is no smaller value of f nearby. C. No, this is not consistent with the first derivative theorem for local extreme values because x 0 is not in the domain of f D. No, this is not consistent with the first derivative theorem for local extreme values because f' is undefined at x 0

23. The function f(x) =x has an absolute minimum value at x 0 even though f is not differentiable at x = 0. Is this consistent with the first derivative theorem for local extreme values? Give reasons for your answer. Choose the correct answer below. A. Yes, this is consistent with the first derivative theorem for local extreme values because a function f can possibly have an extreme value at interior points where f' is undefined. B. Yes, this is consistent with the first derivative theorem for local extreme values because there is no smaller value of f nearby. C. No, this is not consistent with the first derivative theorem for local extreme values because x 0 is not in the domain of f D. No, this is not consistent with the first derivative theorem for local extreme values because f' is undefined at x 0

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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