(\partial)/(\partial y)(2x^3-11x^2y+3y^2)

Lösung

\frac{\partial}{\partial y} (2 x^{3} - 11 x^{2} y + 3 y^{2})

6 y - 11 x^{2}

Schritte zur Lösung

\frac{\partial}{\partial y} (2 x^{3} - 11 x^{2} y + 3 y^{2})

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (2 x^{3}) - \frac{\partial}{\partial y} (11 x^{2} y) + \frac{\partial}{\partial y} (3 y^{2})

\frac{\partial}{\partial y} (2 x^{3}) = 0

\frac{\partial}{\partial y} (11 x^{2} y) = 11 x^{2}

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

= 0 - 11 x^{2} + 6 y

Vereinfache

= 6 y - 11 x^{2}

\frac{\partial}{\partial x} (x - y + x y)

\frac{d}{d x} (\frac{6 x - 1}{3 x ^{2} - x})

\int \frac{5 x ^{4}}{x ^{5} + 8} d x

\int_{1}^{3} \frac{x}{x ^{2} + 1} d x

\frac{d}{d x} (lo g_{8} (x + 9))