AP Calculus ABmediummcq1 pt

What is the local maximum value of f(x)=x33x29x+7f(x)=x^3-3x^2-9x+7?

A.20-20
B.1212
C.1-1
D.2020

Explanation

Core Concept

f(x)=3(x3)(x+1)f'(x)=3(x-3)(x+1), and ff' changes from positive to negative at x=1x=-1. The local maximum value is f(1)=13+9+7=12f(-1)=-1-3+9+7=12.

Correct Answer

B1212

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