
Derivadas
Quiz
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
LUZ VIGUERIAS
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 15 pts
¿Cuál de las siguientes funciones es continua en todo 𝑅R?
A) 𝑓(𝑥)=1𝑥
B) 𝑓(𝑥)=sin(𝑥)
C) 𝑓(𝑥)=𝑥
D) 𝑓(𝑥)=1𝑥−2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿En cuál de los siguientes puntos la función 𝑓(𝑥)=𝑥2−4𝑥−2f(x)=x−2x2−4 tiene una discontinuidad removible?
A) 𝑥=0
B) 𝑥=2
C) 𝑥=−2
D) Ninguna de las anteriores
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Cuál de las siguientes afirmaciones es falsa acerca de la continuidad de una función en un punto 𝑥=𝑐x=c?
A) 𝑓(𝑥)f(x) es continua en 𝑐 si lim𝑥→𝑐𝑓(𝑥)
B) 𝑓(𝑥)f(x) es continua en 𝑐 si 𝑓(𝑐)f(c) está definida
C) 𝑓(𝑥)f(x) es continua en 𝑐 si lim𝑥→𝑐𝑓(𝑥)=𝑓(𝑐)limx→cf(x)=f(c)
D) 𝑓(𝑥)f(x) es continua en 𝑐c si lim𝑥→𝑐−𝑓(𝑥)=lim𝑥→𝑐+𝑓(𝑥)limx→c−f(x)=limx→c+f(x)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Si una función 𝑓(𝑥)f(x) es continua en 𝑥=𝑎x=a, entonces:
A) 𝑓(𝑎)≠lim𝑥→𝑎𝑓(𝑥)
B) lim𝑥→𝑎−𝑓(𝑥)≠
C) 𝑓(𝑎)no está definida
D) lim𝑥→𝑎𝑓(𝑥)=𝑓(𝑎)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Cuál es la derivada de 𝑓(𝑥)=𝑥3+2𝑥2−𝑥+7?
A) 3𝑥2+4𝑥−1+7
B) 3𝑥2+4𝑥
C) 3𝑥2+4𝑥−1
D) 3𝑥3+2𝑥2−𝑥
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Si 𝑓(𝑥)=𝑒𝑥f(x)=ex, ¿cuál es 𝑓′′(𝑥)f′′(x)?
A) 2𝑒𝑥
B) 𝑒𝑥
C) 𝑥𝑒𝑥
D) 0
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Cuál es la derivada de 𝑓(𝑥)=sin(𝑥)⋅cos(𝑥)?
A) cos2(𝑥)−sin2(𝑥)
B) cos(𝑥)−sin(𝑥)
C) sin2(𝑥)+cos2(𝑥)
D) sin(𝑥)⋅cos(𝑥)
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