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Beliebt Rechnen >

(\partial)/(\partial y)(xe^{x+y}-y)

Lösung

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

Lösung

x e^{x + y} - 1

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial y} (y) = 1

= x e^{x + y} - 1

Beliebte Beispiele

derivative of 4sin(x/2)

\frac{d}{d x} (4 sin (\frac{x}{2}))

integral from-infinity to 0 of 1/(7-9x)

\int_{- \infty}^{0} \frac{1}{7 - 9 x} d x

derivative of 5e^{-2x}+4

\frac{d}{d x} (5 e^{- 2 x} + 4)

derivative of 8^{4-x^2}

\frac{d}{d x} (8^{4 - x^{2}})

steigung (x^2-35)^6

s l o p e (x^{2} - 35)^{6}