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Marca las afirmaciones que son ciertas si la representación gráfica de la función <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»</span> es<br />#p<br />
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Algorithm
Choice 1
Answer
La primera derivada, f '(x),es siempre negativa
Grade
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83.33333%
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66.66667%
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Feedback
Muy bien. La función es decreciente en todo su dominio, por tanto, la primera derivada es negativa en todo su dominio.
Choice 2
Answer
La primera derivada es positiva para x>#a y es negativa para x<#a
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
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-11.11111%
-12.5%
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Feedback
Atención, el signo de la primera derivada, f'(x), está relacionado con el crecimiento de la función f(x) y no con el signo de las imágenes de f(x). Fíjate que la función es siempre decreciente.
Choice 3
Answer
La segunda derivada, f ''(x), es positiva para x>#a y es negativa para x<#a
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
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Feedback
Muy bien. La segunda derivada, f''(x), es positiva si la función f(x) es cóncava y es negativa si la función f(x) es convexa.
Choice 4
Answer
La segunda derivada es siempre positiva
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
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16.66667%
14.28571%
12.5%
11.11111%
10%
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Feedback
Atención, el signo de la segunda derivada está relacionado con la concavidad de la función f(x). Para ser f''(x) siempre positiva, la función f(x) debería ser cóncava en todo su dominio.
Choice 5
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
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16.66667%
14.28571%
12.5%
11.11111%
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Feedback
Choice 6
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
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16.66667%
14.28571%
12.5%
11.11111%
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Feedback
Choice 7
Answer
Grade
None
100%
90%
83.33333%
80%
75%
70%
66.66667%
60%
50%
40%
33.33333%
30%
25%
20%
16.66667%
14.28571%
12.5%
11.11111%
10%
5%
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-16.66667%
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-66.66667%
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-83.33333%
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Feedback
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100%
50%
33.33333%
25%
20%
10%
0%
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Created / last saved
Created
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Wednesday, 12 June 2013, 1:05 PM
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on
Wednesday, 12 June 2013, 1:05 PM
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