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P.: Urete, kde je funkce f: y = x 3 12<br />
x<br />
f ( x)<br />
e + 2 konvexní, kde konkávní<br />
a kde má inflexní body.<br />
2 <br />
2 <br />
2 <br />
2<br />
f ( x)<br />
<br />
<br />
12<br />
x 12<br />
x<br />
12<br />
x<br />
12<br />
x<br />
e e (<br />
4x)<br />
e (<br />
4x)<br />
e (<br />
4x)<br />
<br />
2<br />
<br />
<br />
12<br />
x<br />
12<br />
x<br />
e (<br />
4x)<br />
(<br />
4x)<br />
e<br />
2<br />
2<br />
(<br />
4)<br />
16x<br />
2<br />
e<br />
12<br />
x<br />
2<br />
4e<br />
12<br />
x<br />
2<br />
<br />
<br />
4e<br />
12<br />
x<br />
2<br />
(4x<br />
2<br />
1)<br />
4e<br />
12<br />
x<br />
2<br />
(4x<br />
2<br />
1)<br />
<br />
0<br />
<br />
x<br />
0,5<br />
x<br />
<br />
;0,5<br />
<br />
0,5 0,5;0,5 0,5 0,5;<br />
<br />
f ´´(x)<br />
+<br />
0 –<br />
0<br />
+<br />
f(x)<br />
inflexní<br />
bod<br />
y e<br />
inflexní<br />
bod<br />
y e
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