Calculus problem #26952

Calculus Level 1

Given the graph of y = f ( x ) y=f(x) above, which of the following is a possible graph of y = f ′ ′ ( x ) ? y=f''(x)?

A B C D

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Gene Keun Chung by Gene Keun Chung , 50, South Korea

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1 solution

Matt O
Dec 5, 2015

Graph is

  • concave down for x < 2, this implies second derivative < 0 in this domain
  • concave up for x > 2, this implies second derivative > 0 in this domain
  • point of inflection is at x = 2, this implies second derivative = 0 at this point

D is the only graph that fits all of the criteria.

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