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Beliebt Rechnen >

(\partial)/(\partial x)(x^9y^9+5x^8y)

Lösung

\frac{\partial}{\partial x} (x^{9} y^{9} + 5 x^{8} y)

Lösung

9 y^{9} x^{8} + 40 y x^{7}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{9} y^{9} + 5 x^{8} y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{9} y^{9}) + \frac{\partial}{\partial x} (5 x^{8} y)

\frac{\partial}{\partial x} (x^{9} y^{9}) = 9 y^{9} x^{8}

\frac{\partial}{\partial x} (5 x^{8} y) = 40 y x^{7}

= 9 y^{9} x^{8} + 40 y x^{7}

Beliebte Beispiele

y^{^{''}} - y - 4 = 0

limit as x approaches-3 of F(x)

x \to - 3 lim (F (x))

integral of 6/((2x-1)^2)

\int \frac{6}{( 2 x - 1 ) ^{2}} d x

derivative of x/(x+20)

\frac{d}{d x} (\frac{x}{x + 20})

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

\int \frac{2 x}{x + 2} d x