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Beliebt Rechnen >

(\partial)/(\partial x)(3x^2y-y^3)

Lösung

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

Lösung

6 x y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (3 x^{2} y) = 6 y x

\frac{\partial}{\partial x} (y^{3}) = 0

= 6 y x - 0

Vereinfache

= 6 x y

Beliebte Beispiele

derivative 2cos(t)

d er i v a t i v e 2 cos (t)

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\frac{d}{d x} (\frac{x sin ^{2} ( x )}{e ^{x} - 1})

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x \to - 1 lim (\frac{x + 1}{x + 1})

integral of 3sin(x)-2cos(x)

\int 3 sin (x) - 2 cos (x) d x

derivative y=70x^{-4}

d er i v a t i v e y = 70 x^{- 4}