Pergunta
The jallewing economs gondien two been dewied by: the kenga Exwences Linted [ a_(a)=3 p^2-4 p a_(s)=2 k-p^2 ( where beb p rea pries and a ropeciel quatily ) ] divereatiate
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IsadoraVeterano · Tutor por 12 anos
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To differentiate the given equations with respect to \( p \), we will apply the rules of differentiation.<br /><br />For the first equation:<br />\[ a_{a} = 3p^{2} - 4p \]<br /><br />Differentiating with respect to \( p \):<br />\[ \frac{d}{dp}(a_{a}) = \frac{d}{dp}(3p^{2}) - \frac{d}{dp}(4p) \]<br />\[ \frac{d}{dp}(a_{a}) = 6p - 4 \]<br /><br />For the second equation:<br />\[ a_{s} = 2k - p^{2} \]<br /><br />Differentiating with respect to \( p \):<br />\[ \frac{d}{dp}(a_{s}) = \frac{d}{dp}(2k) - \frac{d}{dp}(p^{2}) \]<br />\[ \frac{d}{dp}(a_{s}) = 0 - 2p \]<br />\[ \frac{d}{dp}(a_{s}) = -2p \]<br /><br />So, the differentiated equations are:<br />\[ \frac{d}{dp}(a_{a}) = 6p - 4 \]<br />\[ \frac{d}{dp}(a_{s}) = -2p \]
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