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Beliebt Rechnen >

(\partial)/(\partial x)(4+ln(xy-5))

Lösung

\frac{\partial}{\partial x} (4 + ln (x y - 5))

Lösung

\frac{y}{x y - 5}

Schritte zur Lösung

\frac{\partial}{\partial x} (4 + ln (x y - 5))

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4) + \frac{\partial}{\partial x} (ln (x y - 5))

\frac{\partial}{\partial x} (4) = 0

\frac{\partial}{\partial x} (ln (x y - 5)) = \frac{y}{y x - 5}

= 0 + \frac{y}{y x - 5}

Vereinfache

= \frac{y}{x y - 5}

Beliebte Beispiele

integral of 4^k

\int 4^{k} d k

f(θ)=(sin(θ))/(1+cos(θ))

f (θ) = \frac{sin ( θ )}{1 + cos ( θ )}

derivative of 2x^3+15x^2-84x+10

\frac{d}{d x} (2 x^{3} + 15 x^{2} - 84 x + 10)

derivative 30e^{x^2}x

d er i v a t i v e 30 e^{x^{2}} x

limit as x approaches 0+of xn(x)

x \to 0 + lim (x n (x))