AP Calculus ABmediummcq1 pt

On which interval is f(x)=x33x2+1f(x)=x^3-3x^2+1 concave up?

A.(1,)(1,\infty)
B.(,1)(-\infty,1)
C.(1,1)(-1,1)
D.(,)(-\infty,\infty)

Explanation

Core Concept

f(x)=6x6f''(x)=6x-6, which is positive when x>1x>1. So ff is concave up on (1,)(1,\infty).

Correct Answer

A(1,)(1,\infty)

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