Cálculo
[Probando] Derivada
Evalúe la derivada de la función «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»f«/mi»«/math» con respecto a «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«/math» en el punto «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mi»x«/mi»«mo»,«/mo»«mi»y«/mi»«mo»,«/mo»«mi»z«/mi»«mo»)«/mo»«mo»=«/mo»«mo»(«/mo»«mo»#«/mo»«mi»x«/mi»«mn»0«/mn»«mo»,«/mo»«mo»#«/mo»«mi»y«/mi»«mn»0«/mn»«mo»,«/mo»«mo»#«/mo»«mi»z«/mi»«mn»0«/mn»«mo»)«/mo»«/math»]]>
1.0000000
0.3333333
0
0
#sol
<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>f1</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mi>cos</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mo> </mo><mi>sin</mi><mo>(</mo><mn>3</mn><mo>*</mo><mi>x</mi><mo>)</mo><mo>,</mo><mi>x</mi><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mi>cos</mi><mo>(</mo><mn>2</mn><mo>*</mo><mi>y</mi><mo>)</mo><mo>,</mo><mo> </mo><mi>sin</mi><mo>(</mo><mi>y</mi><mo>)</mo><mo>,</mo><msup><mi>y</mi><mn>2</mn></msup><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f3</mi><mo>=</mo><mi>aleatorio</mi><mo>{</mo><mi>cos</mi><mo>(</mo><mn>3</mn><mo>+</mo><mi>z</mi><mo>)</mo><mo>,</mo><mo> </mo><mi>sin</mi><mo>(</mo><mi>z</mi><mo>)</mo><mo>,</mo><msup><mi>z</mi><mn>3</mn></msup><mo>}</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>f1</mi><mo>*</mo><mi>f2</mi><mo>+</mo><mi>f3</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>,</mo><mi>z</mi><mo>)</mo><mo>=</mo><apply><diff/><bvar><mi>x</mi></bvar><mi>f</mi></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x0</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y0</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>z0</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi><mo>=</mo><mi>df</mi><mo>(</mo><mi>x0</mi><mo>,</mo><mi>y0</mi><mo>,</mo><mi>z0</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><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="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>