(\partial)/(\partial y)(x*ln(x-y))

Lösung

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

- \frac{x}{x - y}

Schritte zur Lösung

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

Behandle

x

als Konstante

Entferne die Konstante:

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

= x \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) = - 1

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

Vereinfache

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

= - \frac{x}{x - y}

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

ma c l a u r in x + 1

x \to - 6 - lim (\frac{- 1}{x + 6})

l a pl a ce t r an s f or m x - 1

\int e^{x^{3}} x^{2} d x