de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

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} (x^{8} y^{8})

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

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

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

Beliebte Beispiele

integral of 2x^2e^{x^3}

integral of 1/(sec^4(1/4 x))

limit as x approaches 0 of (1+4x)^{3/x}

integral of ((tan(u))/4-4/7 u^6-2/u)