(\partial)/(\partial y)(cos(x-y)-xe^y)

Lösung

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

sin (x - y) - x e^{y}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (cos (x - y)) = sin (x - y)

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

= sin (x - y) - x e^{y}