(\partial)/(\partial y)(cos(x)+xcos(y)-y)

Lösung

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

- x sin (y) - 1

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

= 0 - x sin (y) - 1

Vereinfache

= - x sin (y) - 1

n = 0 \sum \infty (\frac{2}{4})^{n}

\int 5 x + 12 d x

n = 0 \sum \infty n \cdot (\frac{1}{6})^{n}

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

\int \frac{1}{x ^{2} + 6 x + 13} d x