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Beliebt Rechnen >

d/(dy)((y^3)/(27)+9/(4y))

Lösung

\frac{d}{d y} (\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

Beliebte Beispiele

derivative sin(4x)+sin^2(4x)

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f (x) = - 3 lo g_{10} (x)

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f^{^{'}} (x) = 5 x^{2} + 7

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