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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> és<br />#p<br />
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Algorithm
Choice 1
Answer
La primera derivada, f '(x), es siempre positiva
Grade
None
100%
90%
83.33333%
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66.66667%
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33.33333%
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16.66667%
14.28571%
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Feedback
Muy bien. La función es creciente en todo su dominio, por tanto, la primera derivada es positiva en todo su dominio.
Choice 2
Answer
La primera derivada es positiva para x>#b y es negativa para #a < x < #b
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%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
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-30%
-33.33333%
-40%
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-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
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 creciente.
Choice 3
Answer
La segunda derivada, f ''(x), es negativa en todo el dominio de la función
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%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
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-66.66667%
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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 positiva para x>#b y es negativa para #a < x < #b
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%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
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-33.33333%
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-66.66667%
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-83.33333%
-90%
-100%
Feedback
Atención, el signo de la segunda derivada está relacionado con la concavidad de la función f(x) no con los signos de las imágenes de la función.<br />
Choice 5
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%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
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-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
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-83.33333%
-90%
-100%
Feedback
Choice 6
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%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
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-66.66667%
-70%
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-80%
-83.33333%
-90%
-100%
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%
-5%
-10%
-11.11111%
-12.5%
-14.28571%
-16.66667%
-20%
-25%
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-33.33333%
-40%
-50%
-60%
-66.66667%
-70%
-75%
-80%
-83.33333%
-90%
-100%
Feedback
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100%
50%
33.33333%
25%
20%
10%
0%
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Hint 2
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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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