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Beliebt Rechnen >

(\partial)/(\partial x)(y^2-e^{xy}y)

Lösung

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

Lösung

- e^{y x} y^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (y^{2}) = 0

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

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

Vereinfache

= - e^{y x} y^{2}

Beliebte Beispiele

integral of (x+1)^4

\int (x + 1)^{4} d x

integral of 1/(sqrt(4x^2-49))

\int \frac{1}{4 x ^{2} - 49} d x

integral of 2cos(4x)

\int 2 cos (4 x) d x

limit as x approaches 2+of (2-x)/(x^2-4)

x \to 2 + lim (\frac{2 - x}{x ^{2} - 4})

derivative of ln(2x+4)

\frac{d}{d x} (ln (2 x + 4))