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^6y^8+7x^8y)

Lösung

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

Lösung

6 y^{8} x^{5} + 56 y x^{7}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (7 x^{8} y) = 56 y x^{7}

= 6 y^{8} x^{5} + 56 y x^{7}

Beliebte Beispiele

d er i v a t i v e - \frac{y}{x}

(3x+6y)dx+(6x-8y3)dy=0

(3 x + 6 y) d x + (6 x - 8 y 3) d y = 0

limit as x approaches 0 of x^2cos(3/x)

x \to 0 lim (x^{2} cos (\frac{3}{x}))

integral of x(3x^2+5)^3

\int x (3 x^{2} + 5)^{3} d x

integral of (5x+5)/(4x^2+17x+4)

\int \frac{5 x + 5}{4 x ^{2} + 17 x + 4} d x