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Beliebt Rechnen >

(\partial)/(\partial y)(ln(xy))

Lösung

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

Lösung

\frac{1}{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) = x

= \frac{1}{x y} x

Vereinfache

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

= \frac{1}{y}

Beliebte Beispiele

integral of x^2sqrt(3-2x)

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

integral of 1/(sqrt((a^2+v^2)))

\int \frac{1}{( a ^{2} + v ^{2} )} d v

y^'+tan(x)y-sin(x)=0

y^{^{'}} + tan (x) y - sin (x) = 0

integral of 1/x+2x

\int \frac{1}{x} + 2 x d x

(\partial)/(\partial x)(4sin(4x))

\frac{\partial}{\partial x} (4 sin (4 x))