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 <question type="category"><category><text>1MA 09. DERIVADES/1MA.09.3 Variacions/1MA.09.3.1 Monotonia</text></category></question>
 
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      <text>1MA.09.3.1.10DT MONOTONIA CONCAVITAT</text>
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<td style="width: 20%; background-color: #003300; border-color: #003300; border-style: solid; border-width: 1px; text-align: center;"><span style="font-size: large; color: #ffff99;">Monotonia i concavitat<br /></span></td>
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<p><span style="font-size: small; color: #003300;"><strong>f'(x)&gt;0  </strong></span><span style="font-size: small;">→ <span style="font-size: small; color: #003300;"><strong>f(x) creixent; </strong></span></span></p>
<p><span style="font-size: small;"><span style="font-size: small; color: #003300;"><strong><span style="font-size: small; color: #003300;"><strong>f'(x)&lt;0 <span style="font-size: small;">→</span> f(x) decreixent</strong></span></strong></span></span></p>
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<p><span style="font-size: small; color: #003300;"><strong>f''(x) &gt; 0 <span style="font-size: small;">→</span> f(x) convexa; </strong></span></p>
<p><span style="font-size: small; color: #003300;"><strong><span style="font-size: small; color: #003300;"><strong>f''(x) &lt; 0 <span style="font-size: small;">→</span> f(x) còncava</strong></span><br /></strong></span></p>
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