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math: that's not the second deriv test

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eggy 2020-11-17 17:52:22 -05:00
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@ -594,7 +594,7 @@ To find the extrema of a **continuous** function $f(x)$, where $x=a$ is a critic
- An interval is **concave up** if it increases from left to right and tangent lines are drawn below the curve, so $f´´(x)>0$. It is shaped like a smile.
- An interval is **concave down** if it increases from left to right and tangent lines are drawn **above** the curve, and $f´´(x)<0$. It is shaped like a frown.
Changes in concavity only occur at points of inflection, and their specific points can be identified using the **second derivative test**, which follows many of the same steps as the first derivative test but with the second derivative.
Changes in concavity only occur at points of inflection.
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