(\partial)/(\partial y)(x^2y-xy^3)

Lösung

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

x^{2} - 3 x y^{2}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (x^{2} y) - \frac{\partial}{\partial y} (x y^{3})

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

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

= x^{2} - 3 x y^{2}

\int x^{3} e x^{4} + 5 d x

\int \frac{sin ( 2 x )}{sin ^{2} ( x )} d x

\frac{\partial}{\partial t} (e^{π t})

n = 1 \sum \infty \frac{n + 1}{n + 2}

x \to 4 lim (\frac{x - 2}{x})