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Beliebt Rechnen >

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

Lösung

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

Lösung

2 y x + e^{x y} y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Beliebte Beispiele

integral from 0 to 4.5 of 90x

\int_{0}^{4.5} 90 x d x

derivative of 1+2tan(x)

\frac{d}{d x} (1 + 2 tan (x))

limit as x approaches 0 of x^2-1

x \to 0 lim (x^{2} - 1)

integral of ln(x)sqrt(x^{15)}

\int ln (x) x^{15} d x

tangent 3/((4x+1)^2)

t an g e n t \frac{3}{( 4 x + 1 ) ^{2}}