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Beliebt Rechnen >

(\partial)/(\partial y)(2xy+y^2)

Lösung

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

Lösung

2 x + 2 y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 x + 2 y

Beliebte Beispiele

x(dy)/(dx)+(-1+x)y=-xy^2

x \frac{d y}{d x} + (- 1 + x) y = - x y^{2}

integral of 8/(x-1)

\int \frac{8}{x - 1} d x

integral of (10)/(x+1)

\int \frac{10}{x + 1} d x

(\partial)/(\partial x)((5x-y)/(y^2+3x^2))

\frac{\partial}{\partial x} (\frac{5 x - y}{y ^{2} + 3 x ^{2}})

fläche y=(x^3+1)^{-1},x=0,x=1

a re a y = (x^{3} + 1)^{- 1}, x = 0, x = 1