y' means the changes of signs of slopes of tangent lines. Following is
the graph of . Even though the graph
does not have four distinct real roots since the graph intersect in two
different places on x-axis it is important for students to know the relationship
between the function and its differentiated
The following graphs will explain about the relationship between the function and its differentiated function in detail.
The method of interpretation of a function and its differentiated function
is widely used in current Korean high school curriculum. In fact, students
are successful in drawing a graph with their calculation from a function
and its differentiated function just with pencil and paper. I hope that
providing them graphs from Algebra Xpressor will enhance their understanding
an important concept of calculus.