Question 16Use the second derivative f"(x) = x(x+ 1)(x – 2)- to determine where the inflection points of f (x) occur.O A) x = 0B) x = -1, x = 0OC)x = -1, x = 2O D) x = 0, x = 2O E) x = -1, x = 0 , x = 2

Name: Question 16Use the second derivative f"(x) = x(x+ 1)(x – 2)- to deter
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Description: Question 16Use the second derivative f"(x) = x(x+ 1)(x – 2)- to determine where the inflection points of f (x) occur.O A) x = 0B) x = -1, x = 0OC)x = -1, x = 2O D) x = 0, x = 2O E) x = -1, x = 0 , x = 2

Answered: Use the second derivative f"(x) = x(x +…

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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Option E is the correct option.

To determine the POI for f(x), find the value for x for which f(x) is either 0 or undefined.

The value for f(x) is not undefined for any value for x as the function f(x) is the polynomial function.

Thus, equate the double derivative with respect to 0 and evaluate x.

$\begin{matrix} G i v e n, f " (x) = x (x + 1) {(x - 2)}^{2} \\ f " (x) = 0 \end{matrix}$

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