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Beliebt Rechnen >

derivative (y^3)/(27)+9/(4y)

Lösung

ableitung von

\frac{y ^{3}}{27} + \frac{9}{4 y}

Lösung

\frac{y ^{2}}{9} - \frac{9}{4 y ^{2}}

Schritte zur Lösung

\frac{d}{d y} (\frac{y ^{3}}{27} + \frac{9}{4 y})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d y} (\frac{y ^{3}}{27}) + \frac{d}{d y} (\frac{9}{4 y})

\frac{d}{d y} (\frac{y ^{3}}{27}) = \frac{y ^{2}}{9}

\frac{d}{d y} (\frac{9}{4 y}) = - \frac{9}{4 y ^{2}}

= \frac{y ^{2}}{9} - \frac{9}{4 y ^{2}}

Graph

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