(\partial)/(\partial y)(cos(x)cos(y)+2x)

Lösung

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

- cos (x) sin (y)

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= - cos (x) sin (y) + 0

Vereinfache

= - cos (x) sin (y)

\frac{d}{d x} (2 y + x e^{y})

\frac{d y}{d t} - \frac{2}{t} y = t^{5}

in v erse l a pl a ce \frac{s + 2}{s ( s + 2 ) + 1}

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

in v erse l a pl a ce \frac{1}{s ( s + 4 )}