AP Calculus ABmediummcq1 pt

What is the absolute maximum value of $f(x)=x^3-3x^2$ on $[-1,3]$ ?

-4

0

2

27

Explanation

Core Concept

$f'(x)=3x(x-2)$ gives critical points $x=0$ and $x=2$ . The candidates are $f(-1)=-4$ , $f(0)=0$ , $f(2)=-4$ , and $f(3)=0$ , so the maximum value is $0$ .

Correct Answer

B $0$

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What is the absolute maximum value of f(x)=x3−3x2f(x)=x^3-3x^2f(x)=x3−3x2 on [−1,3][-1,3][−1,3]?

Explanation

Core Concept

Correct Answer

More Unit 5: Analytical Applications of Differentiation practice questions

What is the absolute maximum value of $f(x)=x^3-3x^2$ on $[-1,3]$ ?