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Extrema: First Derivative Test

AP Calculus AB· difficulty 2/5

For f(x)=x3−3x2f(x) = x^3 - 3x^2, ff is <strong>increasing</strong> on

  • A

    (−∞,1)(-\infty, 1)

  • B

    (−∞,0)(-\infty, 0) and (2,∞)(2, \infty)

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  • C

    (0,2)(0, 2)

  • D

    Everywhere

Explanation

f′>0f' > 0 for x<0x < 0 or x>2x > 2.

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