You can use GeoGebra
to find the stationary points of a function. One method involves using CAS
. Another way is to use Algebra View
and Graphics View
.
Recall that Solve
yields exact answers (fractions and roots), while Solve Numerically
yields approximated answers given as decimal numbers.
GeoGebra
Instruction 1
CAS
CAS
under View
in Menu
. f(x):=
. Then press Enter
. Derivative
tool. =0
after the expression and press Solve
or Solve Numerically
. f(x-value)
and then press Enter
. Do this for all the -values you have found. Graphics View
.
If you only want to find the extrema (maxima or minima) of a function, you can just use Graphics View
.
GeoGebra
Instruction 2
Graphics View
Algebra View
and Graphics View
under View
in Menu
. Algebra View
and then press Enter
. Extremum(<Function>, <Start x-Value>, <End x-Value>)
in Algebra View
.
Enter the function name (, , and so on) for <Function>
. For <Start>
and <End>
, choose a sufficient interval based on the plotted graph. For <Start>
, choose an -value to the left of all the extrema of the graph, and for <End>
, choose an -value to the right of all the extrema of the graph.