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Beliebt Rechnen >

(\partial)/(\partial x)(-6xy-x^6-y^6)

Lösung

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

Lösung

- 6 x^{5} - 6 y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (6 x y) = 6 y

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

\frac{\partial}{\partial x} (y^{6}) = 0

= - 6 y - 6 x^{5} - 0

Vereinfache

= - 6 x^{5} - 6 y

Beliebte Beispiele

integral of 1/(6x+5)

\int \frac{1}{6 x + 5} d x

integral of 3x+3

\int 3 x + 3 d x

(y^4-x^2)((dy)/(dx))=-xy

(y^{4} - x^{2}) (\frac{d y}{d x}) = - x y

(dy)/(dt)=0.5-t+2y

\frac{d y}{d t} = 0.5 - t + 2 y

limit as x approaches 0 of (e/x)^x

x \to 0 lim ((\frac{e}{x})^{x})