What is the total change of f(x), if ƒ'(x) = 2x − 3x², over the interval [0, 3 -18 -12 -6

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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**Question:**

What is the total change of \( f(x) \) if \( f'(x) = 2x - 3x^2 \), over the interval [0, 3]?

**Options:**

- \( \bigcirc \) -18

- \( \bigcirc \) -12

- \( \bigcirc \) -6

- \( \bigcirc \) 6
Transcribed Image Text:**Question:** What is the total change of \( f(x) \) if \( f'(x) = 2x - 3x^2 \), over the interval [0, 3]? **Options:** - \( \bigcirc \) -18 - \( \bigcirc \) -12 - \( \bigcirc \) -6 - \( \bigcirc \) 6
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