(\partial)/(\partial x)(sqrt(x/y))

Lösung

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

\frac{1}{2 x y}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

\frac{1}{2 \frac{x}{y}} \frac{\partial}{\partial x} (\frac{x}{y})

= \frac{1}{2 \frac{x}{y}} \frac{\partial}{\partial x} (\frac{x}{y})

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

= \frac{1}{2 \frac{x}{y}} \cdot \frac{1}{y}

Vereinfache

\frac{1}{2 \frac{x}{y}} \cdot \frac{1}{y} : \frac{1}{2 x y}

= \frac{1}{2 x y}

\int_{- 1}^{1} e^{x^{2}} d x

\int x^{4} - 2 x^{2} - 4 x d x

e x p an d \frac{e ^{x} - 2}{( 1 - e ^{- x} ) ^{2}}

\frac{d}{d x} ((x^{2} - 2)^{- 3})

\frac{\partial}{\partial x} (\frac{1}{2 y})