/ analiza 1 Fie funcţiile :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨normal¨»f«/mi»«mo»(«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«msqrt»«msup»«mi mathvariant=¨normal¨»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»n«/mi»«/msqrt»«mrow»«msup»«mi mathvariant=¨normal¨»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»p«/mi»«/mrow»«/mfrac»«mspace linebreak=¨newline¨/»«mi mathvariant=¨normal¨»g«/mi»«mo»(«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«mi mathvariant=¨normal¨»x«/mi»«mo»+«/mo»«mo»(«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»m«/mi»«mo»)«/mo»«/mrow»«msqrt»«msup»«mi mathvariant=¨normal¨»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»n«/mi»«/msqrt»«/mfrac»«mspace linebreak=¨newline¨/»«mi mathvariant=¨normal¨»h«/mi»«mo»(«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»)«/mo»«mo»=«/mo»«mfrac»«mrow»«msup»«mi mathvariant=¨normal¨»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»p«/mi»«mo»§#160;«/mo»«mi mathvariant=¨normal¨»x«/mi»«mo»+«/mo»«mo»#«/mo»«mi mathvariant=¨normal¨»n«/mi»«mo»§#160;«/mo»«/mrow»«msqrt»«msup»«mi mathvariant=¨normal¨»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mo»#«/mo»«mi»r«/mi»«/msqrt»«/mfrac»«/math»

Să se selecteze răspunsul corespunzător:

Derivata lui f: {#1}

Derivata lui g: {#2}

Derivata lui h: {#3}

]]> 3.0000000 1.0000000 0 <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>6</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>(</mo><mo>)</mo><mo>:</mo><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>a</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>b</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mo>=</mo><mi>b</mi><mo>(</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><msup><mi>m</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>n</mi></mrow></msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>p</mi></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>g</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><mi>x</mi><mo>+</mo><mi>m</mi></mrow><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>n</mi></mrow></msqrt></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mfrac><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>p</mi><mo>*</mo><mi>x</mi><mo>+</mo><mi>n</mi></mrow><msqrt><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>r</mi></mrow></msqrt></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D1</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>'</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D2</mi><mo>=</mo><mi>g</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>'</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D3</mi><mo>=</mo><mi>h</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>'</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><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>