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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{1}{x}

Schritte zur Lösung

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

Behandle

z, y

als Konstanten

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (ln (x)) + \frac{\partial}{\partial x} (z ln (y))

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

\frac{\partial}{\partial x} (z ln (y)) = 0

= \frac{1}{x} + 0

Vereinfache

= \frac{1}{x}

Beliebte Beispiele

y^{''}+7y^'+10y=3e^{4t}

y^{^{''}} + 7 y^{^{'}} + 10 y = 3 e^{4 t}

derivative of Axe^{x^2}

\frac{d}{d x} (A x e^{x^{2}})

integral of (2sec^2(x)-x^5)

\int (2 sec^{2} (x) - x^{5}) d x

integral of (xsin(y))

\int (x sin (y)) d y

limit as x approaches-5 of 8/((x+5)^6)

x \to - 5 lim (\frac{8}{( x + 5 ) ^{6}})