de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

2 x - 3 y^{2}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 0 - 3 y^{2} + 2 x

Vereinfache

= 2 x - 3 y^{2}

Beliebte Beispiele

laplacetransform cos(t)*cos(pi)

l a pl a ce t r an s f or m cos (t) \cdot cos (π)

integral of sin^5(3x)cos(3x)

\int sin^{5} (3 x) cos (3 x) d x

tangent f(x)=x^2-5,(-4,11)

t an g e n t f (x) = x^{2} - 5, (- 4, 11)

integral from 0 to 10 of 1000te^{-0.5t}

\int_{0}^{10} 1000 t e^{- 0.5 t} d t

integral of 2cos^2(θ)-1/2

\int 2 cos^{2} (θ) - \frac{1}{2} d θ