APFIVE Determining Intervals of Concavity
For $$-1.5 < x < 1.5$$, let $$f$$ be a function with first derivative given by $$f'(x) = e^{\displaystyle (x^4 - 2x^2 + 1)} - 2$$. Which of the following are all intervals on which the graph of $$f$$ is concave down?
A
$$(-1, 1)$$
B
$$(-1.5, -1.354)$$, $$(-0.409, 0)$$, and $$(1.354, 1.5)$$
C
$$(-0.418, 0.418)$$ only
D
$$(-1.5, -1)$$ and $$(0, 1)$$
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