Cálculo/Derivadas parciales P2-CII-Derivadas parciales 2-M Pregunta: CII-DP2-M

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»«mfrac»«mrow»«mo»#«/mo»«mi»A«/mi»«mo»§#183;«/mo»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»n«/mi»«/mrow»«/msup»«mo»§#183;«/mo»«msup»«mi»y«/mi»«mrow»«mo»#«/mo»«mi»m«/mi»«/mrow»«/msup»«/mrow»«mrow»«msup»«mi»x«/mi»«mrow»«mo»#«/mo»«mi»m«/mi»«/mrow»«/msup»«mo»+«/mo»«msup»«mi»y«/mi»«mrow»«mo»#«/mo»«mi»m«/mi»«/mrow»«/msup»«/mrow»«/mfrac»«/math»

Entonces, para «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨bold-italic¨»n«/mi»«mo mathvariant=¨bold¨»=«/mo»«/math»{#1} se tiene que

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨bold-italic¨»x«/mi»«mo mathvariant=¨bold¨»§#183;«/mo»«msub»«mi mathvariant=¨bold-italic¨»f«/mi»«mi mathvariant=¨bold¨»x«/mi»«/msub»«mo mathvariant=¨bold¨»+«/mo»«mi mathvariant=¨bold-italic¨»y«/mi»«mo mathvariant=¨bold¨»§#183;«/mo»«msub»«mi mathvariant=¨bold-italic¨»f«/mi»«mi mathvariant=¨bold¨»y«/mi»«/msub»«mo mathvariant=¨bold¨»=«/mo»«mi mathvariant=¨bold-italic¨»n«/mi»«mi mathvariant=¨bold-italic¨»f«/mi»«mo mathvariant=¨bold¨»(«/mo»«mi mathvariant=¨bold-italic¨»x«/mi»«mo mathvariant=¨bold¨»,«/mo»«mi mathvariant=¨bold-italic¨»y«/mi»«mo mathvariant=¨bold¨»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>:</mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>n</mi><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>n</mi></math></input></command></group></library></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question>