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`

- 1.
- Open
`CAS`

under`View`

in`Menu`

. - 2.
- Input your function using
`f(x):=`

. Then press`Enter`

. - 3.
- To differentiate your function, click the expression in the previous row so that it is copied to the current one. Select the
`Derivative`

tool. - 4.
- Click the expression of the derivative. Type
`=0`

after the expression and press`Solve`

or`Solve Numerically`

. - 5.
- To find the coordinates of the maxima and minima, you need to calculate the corresponding $y$-values. To do this, type
`f(x-value)`

and then press`Enter`

. Do this for all the $x$-values you have found. - 6.
- To determine visually if a point is a maximum, minimum or inflection point, you can look at the graph displayed in
`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`

- 1.
- Open
`Algebra View`

and`Graphics View`

under`View`

in`Menu`

. - 2.
- Enter your function into
`Algebra View`

and then press`Enter`

. - 3.
- To find the extrema of the function, type
Extremum(<Function>, <Start x-Value>, <End x-Value>)

in

`Algebra View`

.Enter the function name ($f(x)$, $g(x)$, and so on) for

`<Function>`

. For`<Start>`

and`<End>`

, choose a sufficient interval based on the plotted graph. For`<Start>`

, choose an $x$-value to the left of all the extrema of the graph, and for`<End>`

, choose an $x$-value to the right of all the extrema of the graph.

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