ethanberry4600 ethanberry4600
  • 07-09-2018
  • Mathematics
contestada

Determine the interval(s) at which f(x) is concave down given that f′′(x)=−2x2+6x+8.

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sqdancefan
sqdancefan sqdancefan
  • 07-09-2018

f''(x) = -2(x +1)(x -4) so is negative for x < -1 and x > 4

f(x) is concave downward on the intervals (-∞, -1) ∪ (4, ∞).

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