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Beliebt Rechnen >

(\partial)/(\partial x)(ln(x-2y))

Lösung

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

Lösung

\frac{1}{x - 2 y}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Beliebte Beispiele

(\partial)/(\partial x)(sin(x/y))

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

d/(dt)((ln(2t-1))/(t^2-1))

\frac{d}{d t} (\frac{ln ( 2 t - 1 )}{t ^{2} - 1})

(\partial)/(\partial x)(2x^2-3xy+z-4)

\frac{\partial}{\partial x} (2 x^{2} - 3 x y + z - 4)

integral of (x^2-6x+9)

\int (x^{2} - 6 x + 9) d x

integral of 2/(y^2)

\int \frac{2}{y ^{2}} d y