Graphing from the first derivative graph
Looking at the graph of the derivative in the ​x,y-​plane it is very easy to determine the important
information. Here is a summary relating the features of the graph of the ​derivative​ with the graph of the
function. ​**Record these in your notebook to help you process the concepts.
Feature
the function
>0
is increasing
<0
is decreasing
changes – to +
has a local minimum
changes + to –
has a local maximum
increasing
is concave up
decreasing
is concave down
extreme value
has a point of inflection