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)(sqrt(x^2+4xy+y^6)-8)

Lösung

\frac{\partial}{\partial x} (x^{2} + 4 x y + y^{6} - 8)

Lösung

\frac{x + 2 y}{x ^{2} + 4 x y + y ^{6}}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{2} + 4 x y + y^{6} - 8)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{2} + 4 x y + y^{6}) - \frac{\partial}{\partial x} (8)

\frac{\partial}{\partial x} (x^{2} + 4 x y + y^{6}) = \frac{x + 2 y}{x ^{2} + 4 y x + y ^{6}}

\frac{\partial}{\partial x} (8) = 0

= \frac{x + 2 y}{x ^{2} + 4 y x + y ^{6}} - 0

Vereinfache

= \frac{x + 2 y}{x ^{2} + 4 x y + y ^{6}}

Beliebte Beispiele

limit as x approaches 1 of (x^2-5)/x

x \to 1 lim (\frac{x ^{2} - 5}{x})

limit as x approaches-infinity of \sqrt[x]{2}

x \to - \infty lim (x 2)

tangent f(x)=x^2+9,(-4,25)

t an g e n t f (x) = x^{2} + 9, (- 4, 25)

integral of 10e^{-10x}

\int 10 e^{- 10 x} d x

integral of-8/pi x

\int - \frac{8}{π} x d x