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<p><strong>Pregunta: CII - Derivadas orden 2 - 3 - F<br /></strong></p> <p>Dada la función «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»,«/mo»«mi»y«/mi»«mo»)«/mo»«mo»=«/mo»«msup»«mi»e«/mi»«mrow»«mi»x«/mi»«mo»-«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»y«/mi»«/mrow»«/msup»«mo»+«/mo»«mi»s«/mi»«mi»e«/mi»«mi»n«/mi»«mo»(«/mo»«mi»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»y«/mi»«mo»)«/mo»«/math» una función con segundas derivadas parciales continuas en «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi mathvariant=¨normal¨»§#8477;«/mi»«mn»2«/mn»«/msup»«/math» .</p> <p>Entonces se verifica que: «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»§#183;«/mo»«mfrac»«mrow»«msup»«mo»§#8706;«/mo»«mn»2«/mn»«/msup»«mi»f«/mi»«/mrow»«mrow»«mo»§#8706;«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«msup»«mo»§#8706;«/mo»«mn»2«/mn»«/msup»«mi»f«/mi»«/mrow»«mrow»«mo»§#8706;«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«/math» para «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»=«/mo»«/math»{1:SA:%100%#sol}</p>
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Friday, 6 February 2015, 4:35 PM
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