AP Calculus ABmediummcq1 pt

What is the absolute maximum value of $f(x)=x^3-6x^2+9x+2$ on $[0,4]$ ?

2

4

6

9

Explanation

Core Concept

$f'(x)=3(x-1)(x-3)$ gives critical points $x=1$ and $x=3$ . The candidates are $f(0)=2$ , $f(1)=6$ , $f(3)=2$ , and $f(4)=6$ , so the maximum value is $6$ .

Correct Answer

C $6$

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What is the absolute maximum value of f(x)=x3−6x2+9x+2f(x)=x^3-6x^2+9x+2f(x)=x3−6x2+9x+2 on [0,4][0,4][0,4]?

Explanation

Core Concept

Correct Answer

More Unit 5: Analytical Applications of Differentiation practice questions

What is the absolute maximum value of $f(x)=x^3-6x^2+9x+2$ on $[0,4]$ ?