(\partial)/(\partial x)(x^7y^9-x^6y^8)

Lösung

\frac{\partial}{\partial x} (x^{7} y^{9} - x^{6} y^{8})

7 y^{9} x^{6} - 6 y^{8} x^{5}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{7} y^{9} - x^{6} y^{8})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{7} y^{9}) - \frac{\partial}{\partial x} (x^{6} y^{8})

\frac{\partial}{\partial x} (x^{7} y^{9}) = 7 y^{9} x^{6}

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

= 7 y^{9} x^{6} - 6 y^{8} x^{5}

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