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Beliebt Rechnen >

(\partial)/(\partial x)(ln(xyz))

Lösung

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

Lösung

\frac{1}{x}

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

\frac{1}{x yz} \frac{\partial}{\partial x} (x yz)

= \frac{1}{x yz} \frac{\partial}{\partial x} (x yz)

\frac{\partial}{\partial x} (x yz) = yz

= \frac{1}{x yz} yz

Vereinfache

\frac{1}{x yz} yz : \frac{1}{x}

= \frac{1}{x}

Beliebte Beispiele

derivative of (2x-5/(x+1))

\frac{d}{d x} (\frac{2 x - 5}{x + 1})

limit as x approaches 0 of 2xcot(4x)

x \to 0 lim (2 x cot (4 x))

derivative y=(6x)/(x+2)

d er i v a t i v e y = \frac{6 x}{x + 2}

laplacetransform e^{-t}

l a pl a ce t r an s f or m e^{- t}

integral of 1/(u^3)

\int \frac{1}{u ^{3}} d u