(\partial)/(\partial x)(6x^2y+9xy^3)

Lösung

\frac{\partial}{\partial x} (6 x^{2} y + 9 x y^{3})

12 y x + 9 y^{3}

Schritte zur Lösung

\frac{\partial}{\partial x} (6 x^{2} y + 9 x y^{3})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (6 x^{2} y) + \frac{\partial}{\partial x} (9 x y^{3})

\frac{\partial}{\partial x} (6 x^{2} y) = 12 y x

\frac{\partial}{\partial x} (9 x y^{3}) = 9 y^{3}

= 12 y x + 9 y^{3}