AP Calculus ABeasymcq1 pt

On which interval is f(x)=x33xf(x)=x^3-3x decreasing?

A.(,1)(1,)(-\infty,-1)\cup(1,\infty)
B.(3,3)(-\sqrt{3},\sqrt{3})
C.(1,1)(-1,1)
D.ff is decreasing nowhere.

Explanation

Core Concept

f(x)=3x23=3(x21)f'(x)=3x^2-3=3(x^2-1), which is negative exactly on (1,1)(-1,1). So ff is decreasing there.

Correct Answer

C(1,1)(-1,1)

More Unit 5: Analytical Applications of Differentiation practice questions

Try a random question →

Practice more AP Calculus AB questions with full explanations

Practice Unit 5: Analytical Applications of Differentiation Questions →