(\partial)/(\partial y)((x-4)ln(xy))

Lösung

\frac{\partial}{\partial y} ((x - 4) ln (x y))

\frac{x - 4}{y}

Schritte zur Lösung

\frac{\partial}{\partial y} ((x - 4) ln (x y))

Behandle

x

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= (x - 4) \frac{\partial}{\partial y} (ln (x y))

Wende die Kettenregel an:

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

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

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

= (x - 4) \frac{1}{x y} x

Vereinfache

(x - 4) \frac{1}{x y} x : \frac{x - 4}{y}

= \frac{x - 4}{y}

\int_{0}^{l n (4)} \frac{e ^{x}}{e ^{2 x} + 25} d x

x \to - \infty lim (\frac{1}{x} + 3)

\frac{d}{d x} (4 x e^{3 x})

\frac{d}{d x} (\frac{x}{sin ( x ) + cos ( x )})

\frac{d}{d x} (e^{5 x} cos (3 x))