(\partial)/(\partial x)(xy^9-x^2y)

Lösung

\frac{\partial}{\partial x} (x y^{9} - x^{2} y)

y^{9} - 2 y x

Schritte zur Lösung

\frac{\partial}{\partial x} (x y^{9} - x^{2} y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x y^{9}) - \frac{\partial}{\partial x} (x^{2} y)

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

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

= y^{9} - 2 y x

x \to 6 lim (x^{2} + 13)

\frac{d y}{d x} = 2 x y^{4}

x \to 3 lim (\frac{x + 3}{x ^{2} - 9})

in v erse l a pl a ce \frac{2 s + 2}{s + 10}

\frac{\partial}{\partial y} (3 x^{2} - 2 y^{3} + 6 x y^{2} - 8)