school
Acemy

Extrema: First Derivative Test

AP Calculus AB· difficulty 2/5

For f(x)=x3−3x2f(x) = x^3 - 3x^2, the local <strong>maximum</strong> is at

  • A

    x=0x = 0

    check_circle
  • B

    Nowhere

  • C

    x=−1x = -1

  • D

    x=2x = 2

Explanation

f′f' changes from ++ to −- at x=0x = 0: local max. (At x=2x = 2, f′f' goes from −- to ++: local min.)

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode