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Beliebt Rechnen >

(\partial)/(\partial y)(x^4y^2-x^3y)

Lösung

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

Lösung

2 x^{4} y - x^{3}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (x^{4} y^{2}) = 2 x^{4} y

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

= 2 x^{4} y - x^{3}

Beliebte Beispiele

derivative of 2x^3+1

\frac{d}{d x} (2 x^{3} + 1)

derivative f(x)=(e^x)/(4-4x)

d er i v a t i v e f (x) = \frac{e ^{x}}{4 - 4 x}

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

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

fläche f(x)=6-x^2,g(x)=x

a re a f (x) = 6 - x^{2}, g (x) = x

taylor sqrt(1-3x)

t a y l or 1 - 3 x