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Beliebt Rechnen >

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

Lösung

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

Lösung

2 x^{3}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 x^{3} + 0

Vereinfache

= 2 x^{3}

Beliebte Beispiele

integral from-3 to-5 of-4^{-3}

\int_{- 3}^{- 5} - 4^{- 3} d x

derivative of e^{-16x}

\frac{d}{d x} (e^{- 16 x})

sum from n=1 to infinity of 6/(pi^n)

n = 1 \sum \infty \frac{6}{π ^{n}}

integral of 4/((x-2)(x+2))

\int \frac{4}{( x - 2 ) ( x + 2 )} d x

derivative of 2x^4+x^3-x^2+4

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