1MA 09. DERIVADES/1MA.09.3 Variacions/1MA.09.3.2 Extrems relatius 1MA.09.3.2.21.2Q ExtremsPolinomiG3 Calcula, si s'escau, les coordenades i els tipus dels extrems relatius de la funció f(x) = #g.

Format:

Extrems={[1,2/3],[-2,3]}

Tipus={M,m} en el mateix ordre: M,m si 1 correspon a un màxim i -2 a un mínim

]]> La derivada primera és #d1 que s'anul·la per #s1 i #s2. El seu signe és:

x	-∞	#s1		#s2	+∞
#d1	#w1	0	#w2	0	#w3

El gràfic és #D

]]> 1.0000000 0.5000000 0 0 Extrems=#solTipus(M/m)=#t1]]> <question><wirisCasSession><![CDATA[<session lang="ca" 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"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">repeat</csymbol><mtable><mtr><mtd><mi>s1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd><mi>s2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo><mo>*</mo><mi>aleatori</mi><mo>(</mo><mo>{</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>}</mo><mo>)</mo></mtd></mtr><mtr><mtd/></mtr></mtable><mrow><mi>s1</mi><mo><</mo><mi>s2</mi></mrow></apply></math></input></command><command><input><math 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align="center"><mtr><mtd><mi>x</mi><mo>></mo><mo>-</mo><mn>3</mn><mo>∧</mo><mi>x</mi><mo><</mo><mn>2</mn></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w1</mi><mo>,</mo><mi>w2</mi><mo>,</mo><mi>w3</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>+</mo><mo>,</mo><mo>-</mo><mo>,</mo><mo>+</mo></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tauler1</mi></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="]" open="["><mrow><mo>-</mo><mn>3</mn><mo>,</mo><mfrac><mn>77</mn><mn>2</mn></mfrac></mrow></mfenced><mo>,</mo><mfenced close="]" open="["><mrow><mn>2</mn><mo>,</mo><mo>-</mo><mn>24</mn></mrow></mfenced></mtd></mtr></mtable></mfenced></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>M</mi><mo>,</mo><mi>m</mi></mtd></mtr></mtable></mfenced></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"><mi>E</mi><mi>x</mi><mi>t</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>m</mi><mi>s</mi><mo>=</mo><mo>#</mo><mi>s</mi><mi>o</mi><mi>l</mi><mspace linebreak="newline"/><mi>T</mi><mi mathvariant="normal">i</mi><mi>p</mi><mi>u</mi><mi>s</mi><mo>(</mo><mi>M</mi><mo>/</mo><mi>m</mi><mo>)</mo><mo>=</mo><mo>#</mo><mi>t</mi><mn>1</mn></math>]]></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">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> La derivada primera és #d1 que s'anul·la per #s1 i #s2. El seu signe és:

x	-∞	#s1		#s2	+∞
#d1	#w1	0	#w2	0	#w3

]]>