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Beliebt Rechnen >

(\partial)/(\partial x)(6x^8y^6+2x^7y^5)

Lösung

\frac{\partial}{\partial x} (6 x^{8} y^{6} + 2 x^{7} y^{5})

Lösung

48 y^{6} x^{7} + 14 y^{5} x^{6}

Schritte zur Lösung

\frac{\partial}{\partial x} (6 x^{8} y^{6} + 2 x^{7} y^{5})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (6 x^{8} y^{6}) + \frac{\partial}{\partial x} (2 x^{7} y^{5})

\frac{\partial}{\partial x} (6 x^{8} y^{6}) = 48 y^{6} x^{7}

\frac{\partial}{\partial x} (2 x^{7} y^{5}) = 14 y^{5} x^{6}

= 48 y^{6} x^{7} + 14 y^{5} x^{6}

Beliebte Beispiele

t^3y^'+4t^2y=e^{-t},y(1)=0

taylor x^{-2},9

integral from 0 to 2 of |2x-1|

taylor e^{x^2-x}

integral of x/1