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Determining Concavity From the First Derivative
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The function $$ f $$ has first derivative given by $$ f'(x) = x^4 - 6x^2 - 8x - 3 $$. On what intervals is the graph of $$ f $$ concave up?

A

$$ (0, \infty) $$

B

$$ (-\infty, -1) $$ and $$ (3, \infty) $$

C

$$ (-1, 2) $$

D

$$ (2, \infty) $$ only

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