Determining Concavity From the First Derivative

Question

The first derivative of a function $$f$$ is given by $$ f'(x) = x^4 - 6x^2 - 8x - 3 $$. On which of the following intervals is the graph of $$f$$ concave up?

Accepted Answer

$$ (2, \infty) $$ only

Answer

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

Answer

$$ (0, \infty) $$

Answer

$$ (-1, 2) $$

Determining Concavity From the First Derivative

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