(\partial)/(\partial x)(xcos(xy)-2y)

Lösung

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

cos (x y) - x y sin (x y)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

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

\frac{d}{d x} (cos (x) sec^{7} (x))

\int 3 sin^{3} (x co) s^{2} x d x

x \to 1 lim (\frac{2 x - 5}{x + 1})

\frac{d}{d x} (\frac{k x + a}{b x + c})

\int ln (2 x + 1) d x