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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{2}{x + 2 y}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= \frac{2}{x + 2 y}

Beliebte Beispiele

derivative f(x)=ln^2(x)

d er i v a t i v e f (x) = ln^{2} (x)

maclaurin 4/(1+x)

ma c l a u r in \frac{4}{1 + x}

derivative of sin(2x^4)

\frac{d}{d x} (sin (2 x^{4}))

derivative of 1/(-sin(x))

\frac{d}{d x} (\frac{1}{- sin ( x )})

derivative of \sqrt[4]{2x^2-4x+7}

\frac{d}{d x} (4 2 x^{2} - 4 x + 7)