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Beliebt Rechnen >

d/(dy)(4x^2y^3-4)

Lösung

\frac{d}{d y} (4 \cdot x^{2} \cdot y^{3} - 4)

Lösung

12 x^{2} y^{2}

Schritte zur Lösung

\frac{d}{d y} (4 x^{2} y^{3} - 4)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d y} (4 x^{2} y^{3}) - \frac{d}{d y} (4)

\frac{d}{d y} (4 x^{2} y^{3}) = 12 x^{2} y^{2}

\frac{d}{d y} (4) = 0

= 12 x^{2} y^{2} - 0

Vereinfache

= 12 x^{2} y^{2}

Beliebte Beispiele

derivative y=(t^2-7)^2

d er i v a t i v e y = (t^{2} - 7)^{2}

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derivative of x^3-3x^2+3

\frac{d}{d x} (x^{3} - 3 x^{2} + 3)