The function is ,
.
Graph :
\Graph the function :
Observe the graph.
\In the intervals and
, the function
is positive then the antiderivative
is increases.
In the intervals and
the function
is negative then the antiderivative
is decreases.
The function changes its sign from positive to negative at
, then the antiderivative
has a local maximum.
The function changes its sign from negative to positive at
, then the antiderivative
has a local minimum.
The function changes its sign from positive to negative at
, then the antiderivative
has a local maximum.
The antiderivative has a inflection point, where the function
has either local maximum or local minimum values.
Therefore the antiderivative has a inflection points at
and
.
Graph :
\Graph the antiderivative using the function
characteristics :
Graph of the antiderivative is
.