(\partial)/(\partial x)(81x^8y^8-64x^7y^7)

Lösung

\frac{\partial}{\partial x} (81 x^{8} y^{8} - 64 x^{7} y^{7})

648 y^{8} x^{7} - 448 y^{7} x^{6}

Schritte zur Lösung

\frac{\partial}{\partial x} (81 x^{8} y^{8} - 64 x^{7} y^{7})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (81 x^{8} y^{8}) - \frac{\partial}{\partial x} (64 x^{7} y^{7})

\frac{\partial}{\partial x} (81 x^{8} y^{8}) = 648 y^{8} x^{7}

\frac{\partial}{\partial x} (64 x^{7} y^{7}) = 448 y^{7} x^{6}

= 648 y^{8} x^{7} - 448 y^{7} x^{6}

\int_{0}^{\frac{π}{2}} x cos (x^{2}) d x

d er i v a t i v e (5 - 5 x^{3})^{3} + \frac{1}{5 - 5 x ^{3}}

\int xx d x

\frac{d}{d x} (\frac{2}{x - 6})

\frac{d}{d x} (6 x - 2)