Answer
Points of inflection of $f$ at $x=-1$ and $x=-1$
Work Step by Step
A curve is concave up if its slope is increasing, in which case the second derivative is positive.
A curve is concave down if its slope is decreasing, in which case the second derivative is negative.
A point in the domain of $f$ where the graph of $f$ changes concavity, from concave up to concave down or vice versa, is called a point of inflection.
At a point of inflection, the second derivative is either zero or undefined.
The graph of $f'$ is the graph of slope of $f.$
At local (internal) extrema of $f',$ the second derivative is 0.
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$f'$ has local internal extrema at $x=-1$ and at $x=1$.
Points of inflection of $f$ at $x=-1$ and $x=-1$
