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Marca las afirmaciones que son ciertas si la representación gráfica de <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»§apos;«/mo»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»</span> es <br />#p<br />
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Choice 1
Answer
La derivada de f(x) en x = #a es #b
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Feedback
Muy bien. La imagen de la función derivada <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»§apos;«/mo»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»</span> en <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»=«/mo»«mi»#a«/mi»«/math»</span> es #b.<br />#p1<br />
Choice 2
Answer
La pendiente de la recta tangente a f(x) en x =#a es #b
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Feedback
Muy bien. La derivada de <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»</span> en <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»=«/mo»«mi»#a«/mi»«/math»</span> es la pendiente de la recta tangente a f(x) en el punto de abscisa <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»=«/mo»«mi»#a«/mi»«/math»</span>. En la gráfica se muestra en rojo la recta tangente a una posible 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> en <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»x«/mi»«mo»=«/mo»«mi»#a«/mi»«/math»</span><br />#q<br />
Choice 3
Answer
La imagen de f(x) en x =#a es #b. Es decir f(#a)=#b
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Feedback
Atención, la representación gráfica que se muestra es la de la derivada de la función <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»§apos;«/mo»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»</span>, no de la función original <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»</span>. A partir de la gráfica de <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»§apos;«/mo»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»</span> no podemos saber la imagen de <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»</span> para un valor de x determinado.
Choice 4
Answer
La función f(x) es un polinomio de grado 1.
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Feedback
Atención, la representación gráfica que se muestra es la de la derivada de la función, <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»§apos;«/mo»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»</span> , no de la función original <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»</span>. la función <span class="nolink">«math xmlns="http://www.w3.org/1998/Math/MathML"»«mi»f«/mi»«mo»§apos;«/mo»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/math»</span> es un polinomio de grado 1 ya que su gráfica es una recta.
Choice 5
Answer
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Choice 6
Answer
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Choice 7
Answer
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Wednesday, 12 June 2013, 1:05 PM
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