MATE CCSS II/Tema 6-Cálculo de derivadas Ariketa-1-14 Kalkulatu ondorengo funtzioaren lehen eta bigarren deribatua, deribazio erregelak erabiliz:

(Calcula, utilizando las reglas de derivación, la primera y segunda derivada de la siguiente función:

f(x)= #f

]]> 1.0000000 0.3333333 0 0 f'(x)= #df1f''(x)= #df2]]> <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>f</mi><mo>=</mo><mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>3</mn></mrow><mrow><mn>3</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>5</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>f</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi><mo>=</mo><mi>derivar</mi><mo>(</mo><mi>df1</mi><mo>,</mo><mi>x</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>19</mn><mrow><mn>9</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>30</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>25</mn></mrow></mfrac></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>df2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mo>-</mo><mn>114</mn></mrow><mrow><mn>27</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>135</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>225</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>125</mn></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>f</mi><mo>'</mo></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo> </mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>1</mn><mspace linebreak="newline"/><msup><mi>f</mi><mrow><mo>'</mo><mo>'</mo></mrow></msup><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mo> </mo><mo>#</mo><mi mathvariant="normal">d</mi><mi>f</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question>