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Beliebt Rechnen >

(\partial)/(\partial y)(ln(xyz))

Lösung

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

Lösung

\frac{1}{y}

Schritte zur Lösung

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

Behandle

x, z

als Konstanten

Wende die Kettenregel an:

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

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

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

= \frac{1}{x yz} x z

Vereinfache

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

= \frac{1}{y}

Beliebte Beispiele

integral of 7^{x^2}

\int 7^{x^{2}} d x

limit as x approaches infinity of 1/x+1

x \to \infty lim (\frac{1}{x} + 1)

tangent y^3x+y^2x^2=6,(2,1)

t an g e n t y^{3} x + y^{2} x^{2} = 6, (2, 1)

y^{''}-2y^'+7y=0

y^{^{''}} - 2 y^{^{'}} + 7 y = 0

derivative of 1/(10x)

\frac{d}{d x} (\frac{1}{10 x})