Per definire una funzione tramite un risultato simbolico

Matematica simbolica > Valutazione simbolica > Per definire una funzione tramite un risultato simbolico

Per definire una funzione tramite un risultato simbolico

1. Valutare un'espressione simbolicamente.

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  <math resultRef="13" xml:lang="it">
    <symEval xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <apply xml:lang="it">
        <plus xml:lang="it" />
        <apply xml:lang="it">
          <plus xml:lang="it" />
          <apply xml:lang="it">
            <plus xml:lang="it" />
            <apply xml:lang="it">
              <pow xml:lang="it" />
              <id xml:space="preserve" xml:lang="it">x</id>
              <real xml:lang="it">2</real>
            </apply>
            <apply xml:lang="it">
              <mult xml:lang="it" />
              <real xml:lang="it">3</real>
              <id xml:space="preserve" xml:lang="it">x</id>
            </apply>
          </apply>
          <apply xml:lang="it">
            <mult xml:lang="it" />
            <real xml:lang="it">2</real>
            <apply xml:lang="it">
              <pow xml:lang="it" />
              <id xml:space="preserve" xml:lang="it">x</id>
              <real xml:lang="it">2</real>
            </apply>
          </apply>
        </apply>
        <apply xml:lang="it">
          <scale xml:lang="it" />
          <real xml:lang="it">5</real>
          <id xml:space="preserve" xml:lang="it">x</id>
        </apply>
      </apply>
      <command xml:lang="it">
        <placeholder xml:lang="it" />
      </command>
      <symResult xml:lang="it">
        <apply xml:lang="it">
          <plus xml:lang="it" />
          <apply xml:lang="it">
            <mult xml:lang="it" />
            <real xml:lang="it">3</real>
            <apply xml:lang="it">
              <pow xml:lang="it" />
              <id labels="*" xml:space="preserve" xml:lang="it">x</id>
              <real xml:lang="it">2</real>
            </apply>
          </apply>
          <apply xml:lang="it">
            <mult xml:lang="it" />
            <real xml:lang="it">8</real>
            <id labels="*" xml:space="preserve" xml:lang="it">x</id>
          </apply>
        </apply>
      </symResult>
    </symEval>
  </math>
</region>

2. Assegnare l'espressione simbolica alla funzione f(x).

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<region id="ID0EBQ5QB" top="76.800000000000011" left="38.400000000000006" height="39.2" width="292.62" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="15" xml:lang="it">
    <define xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <function xml:lang="it">
        <id labels="VARIABLE" xml:space="preserve" xml:lang="it">f</id>
        <boundVars xml:lang="it">
          <id labels="VARIABLE" xml:space="preserve" xml:lang="it">x</id>
        </boundVars>
      </function>
      <symEval xml:lang="it">
        <apply xml:lang="it">
          <plus xml:lang="it" />
          <apply xml:lang="it">
            <plus xml:lang="it" />
            <apply xml:lang="it">
              <plus xml:lang="it" />
              <apply xml:lang="it">
                <pow xml:lang="it" />
                <id xml:space="preserve" xml:lang="it">x</id>
                <real xml:lang="it">2</real>
              </apply>
              <apply xml:lang="it">
                <mult xml:lang="it" />
                <real xml:lang="it">3</real>
                <id xml:space="preserve" xml:lang="it">x</id>
              </apply>
            </apply>
            <apply xml:lang="it">
              <mult xml:lang="it" />
              <real xml:lang="it">2</real>
              <apply xml:lang="it">
                <pow xml:lang="it" />
                <id xml:space="preserve" xml:lang="it">x</id>
                <real xml:lang="it">2</real>
              </apply>
            </apply>
          </apply>
          <apply xml:lang="it">
            <scale xml:lang="it" />
            <real xml:lang="it">5</real>
            <id xml:space="preserve" xml:lang="it">x</id>
          </apply>
        </apply>
        <command xml:lang="it">
          <placeholder xml:lang="it" />
        </command>
        <symResult xml:lang="it">
          <apply xml:lang="it">
            <plus xml:lang="it" />
            <apply xml:lang="it">
              <mult xml:lang="it" />
              <real xml:lang="it">3</real>
              <apply xml:lang="it">
                <pow xml:lang="it" />
                <id labels="*" xml:space="preserve" xml:lang="it">x</id>
                <real xml:lang="it">2</real>
              </apply>
            </apply>
            <apply xml:lang="it">
              <mult xml:lang="it" />
              <real xml:lang="it">8</real>
              <id labels="*" xml:space="preserve" xml:lang="it">x</id>
            </apply>
          </apply>
        </symResult>
      </symEval>
    </define>
  </math>
</region>

3. Valutare la funzione f(x) simbolicamente.

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<region id="ID0E2R5QB" top="115.20000000000002" left="38.400000000000006" height="39.2" width="133.51666666666668" xml:lang="it" xmlns="http://schemas.mathsoft.com/worksheet50">
  <math resultRef="17" xml:lang="it">
    <symEval xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <apply xml:lang="it">
        <id labels="VARIABLE" xml:space="preserve" xml:lang="it" label-is-contextual="true">f</id>
        <id xml:space="preserve" xml:lang="it">x</id>
      </apply>
      <command xml:lang="it">
        <placeholder xml:lang="it" />
      </command>
      <symResult xml:lang="it">
        <apply xml:lang="it">
          <plus xml:lang="it" />
          <apply xml:lang="it">
            <mult xml:lang="it" />
            <real xml:lang="it">3</real>
            <apply xml:lang="it">
              <pow xml:lang="it" />
              <id labels="*" xml:space="preserve" xml:lang="it">x</id>
              <real xml:lang="it">2</real>
            </apply>
          </apply>
          <apply xml:lang="it">
            <mult xml:lang="it" />
            <real xml:lang="it">8</real>
            <id labels="*" xml:space="preserve" xml:lang="it">x</id>
          </apply>
        </apply>
      </symResult>
    </symEval>
  </math>
</region>

4. Valutare la funzione f(x) numericamente.

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Ulteriori informazioni

Quando si definisce una funzione utilizzando l'output di una valutazione simbolica, le variabili definite in precedenza vengono ignorate.

Fare clic per copiare questa espressione

Fare clic per copiare questa espressione

Fare clic per copiare questa espressione

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  <math resultRef="25" xml:lang="it">
    <define xml:lang="it" xmlns="http://schemas.mathsoft.com/math50">
      <function xml:lang="it">
        <id labels="VARIABLE" xml:space="preserve" xml:lang="it">f</id>
        <boundVars xml:lang="it">
          <id labels="VARIABLE" xml:space="preserve" xml:lang="it">x</id>
        </boundVars>
      </function>
      <symEval xml:lang="it">
        <apply xml:lang="it">
          <minus xml:lang="it" />
          <apply xml:lang="it">
            <pow xml:lang="it" />
            <id xml:space="preserve" xml:lang="it">x</id>
            <real xml:lang="it">2</real>
          </apply>
          <real xml:lang="it">5</real>
        </apply>
        <command xml:lang="it">
          <sequence xml:lang="it">
            <id xml:space="preserve" xml:lang="it">solve</id>
            <id xml:space="preserve" xml:lang="it">x</id>
          </sequence>
        </command>
        <symResult xml:lang="it">
          <matrix rows="2" cols="1" xml:lang="it">
            <apply xml:lang="it">
              <nthRoot xml:lang="it" />
              <placeholder xml:lang="it" />
              <real xml:lang="it">5</real>
            </apply>
            <apply xml:lang="it">
              <neg xml:lang="it" />
              <apply xml:lang="it">
                <nthRoot xml:lang="it" />
                <placeholder xml:lang="it" />
                <real xml:lang="it">5</real>
              </apply>
            </apply>
          </matrix>
        </symResult>
      </symEval>
    </define>
  </math>
</region>