<?xml version="1.0" encoding="utf-8"?>
<geogebra format="2.4">
<gui>
	<show algebraView="false"/>
	<splitDivider loc="250"/>
	<font  size="14"/>
</gui>
<euclidianView>
	<coordSystem xZero="21.0" yZero="323.33333333333326" scale="40.0"/>
	<evSettings axes="true" grid="true" pointCapturing="true"/>
</euclidianView>
<kernel>
	<decimals val="2"/>
	<angleUnit val="degree"/>
</kernel>
<construction title="funktion1" author="" date="">
<!-- expression label ="f" exp="f(x) = x² / 6 - 2 x + 8"/ -->
<expression label ="f" exp="f(x) = x*x / 6 - 2*x + 8"/>
<element type="function" label="f">
	<show object="true" label="true"/>
	<objColor r="0" g="0" b="0" alpha="0.0"/>
	<labelOffset x="14" y="12"/>
	<labelMode val="1"/>
	<fixed val="true"/>
	<lineStyle thickness="5" type="0"/>
</element><command name="Point">
	<input a0="f"/>
	<output a0="T"/>
</command>
<element type="point" label="T">
	<show object="true" label="true"/>
	<objColor r="102" g="102" b="255" alpha="0.0"/>
	<labelOffset x="-21" y="8"/>
	<animation step="0.1"/>
	<coords x="9.0" y="3.5" z="1.0"/>
	<coordStyle style="cartesian"/>
	<pointSize val="3"/>
</element>
<command name="Tangent">
	<input a0="T" a1="f"/>
	<output a0="t"/>
</command>
<element type="line" label="t">
	<show object="true" label="true"/>
	<objColor r="102" g="102" b="102" alpha="0.0"/>
	<labelOffset x="34" y="0"/>
	<coords x="-1.0" y="1.0" z="5.5"/>
	<lineStyle thickness="5" type="0"/>
	<eqnStyle style="explicit"/>
</element>
<command name="Slope">
	<input a0="t"/>
	<output a0="k"/>
</command>
<element type="numeric" label="k">
	<value val="1.0"/>
	<show object="true" label="true"/>
	<objColor r="153" g="0" b="0" alpha="0.15"/>
	<labelMode val="1"/>
	<lineStyle thickness="5" type="0"/>
</element>
<expression label="N" exp="(x(T), 0)"/>
<element type="point" label="N">
	<show object="false" label="true"/>
	<objColor r="64" g="64" b="64" alpha="0.0"/>
	<coords x="9.0" y="0.0" z="1.0"/>
	<coordStyle style="cartesian"/>
	<pointSize val="3"/>
</element>
<expression label="Q" exp="N + (0, k)"/>
<element type="point" label="Q">
	<show object="true" label="false"/>
	<objColor r="0" g="0" b="204" alpha="0.0"/>
	<trace val="true"/>
	<coords x="9.0" y="1.0" z="1.0"/>
	<coordStyle style="cartesian"/>
	<pointSize val="2"/>
</element>
<command name="Segment">
	<input a0="N" a1="Q"/>
	<output a0="k."/>
</command>
<element type="segment" label="k.">
	<show object="true" label="false"/>
	<objColor r="153" g="0" b="0" alpha="0.0"/>
	<labelOffset x="-5" y="7"/>
	<coords x="-1.0" y="0.0" z="9.0"/>
	<lineStyle thickness="5" type="0"/>
	<eqnStyle style="implicit"/>
</element>
<expression label="T1" exp="&quot;k = &quot; + k"/>
<element type="text" label="T1">
	<objColor r="153" g="0" b="0" alpha="0.0"/>
	<startPoint exp="Q"/>
	<labelOffset x="11" y="6"/>
</element>


</construction>
</geogebra>