school
Acemy

Second Derivative Test

AP Calculus AB· difficulty 2/5

If f′(c)=0f'(c) = 0 and f′′(c)=0f''(c) = 0, the second-derivative test is

  • A

    Inconclusive — try first-derivative test or higher derivatives

    check_circle
  • B

    Always gives a max

  • C

    Always gives an inflection point

  • D

    Always gives a min

Explanation

f′′(c)=0f''(c) = 0 at a critical point: cannot conclude max/min from 2nd test alone.

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
AP Calculus AB · Second Derivative Test Practice Question | Acemy