AP Calculus ABeasymcq1 pt

On which interval is f(x)=x3f(x)=x^3 concave up?

A.(,0)(-\infty,0)
B.(,)(-\infty,\infty)
C.ff is concave up nowhere.
D.(0,)(0,\infty)

Explanation

Core Concept

f(x)=6xf''(x)=6x, which is positive exactly when x>0x>0. So ff is concave up on (0,)(0,\infty).

Correct Answer

D(0,)(0,\infty)

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