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Beliebt Rechnen >

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

Lösung

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

Lösung

- \frac{1}{x - y}

Schritte zur Lösung

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

Behandle

x

als Konstante

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

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

Vereinfache

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

Beliebte Beispiele

derivative of x(e^x-1)

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

derivative of-ln(x^4)

\frac{d}{d x} (- ln (x^{4}))

integral of sqrt(1+cos(piθ))

\int 1 + cos (π θ) d θ

derivative sqrt(x/2)

d er i v a t i v e \frac{x}{2}

inverselaplace (2s-3)/(2s^2-8s+16)

in v erse l a pl a ce \frac{2 s - 3}{2 s ^{2} - 8 s + 16}