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Determining Intervals of Concavity

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The first derivative of a function ff is given by f′(x)=e(x4−2x2+1)−2f'(x) = e^{\displaystyle (x^4 - 2x^2 + 1)} - 2 for −1.5<x<1.5-1.5 < x < 1.5. Which of the following gives all the intervals on which the graph of ff is concave down?

A

(−1.5,−1.354)(-1.5, -1.354), (−0.409,0)(-0.409, 0), and (1.354,1.5)(1.354, 1.5)

B

(−1,1)(-1, 1)

C

(−1.5,−1)(-1.5, -1) and (0,1)(0, 1)

D

(−0.418,0.418)(-0.418, 0.418) only

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