(\partial)/(\partial x)(9+ln(xy-5))

Lösung

\frac{\partial}{\partial x} (9 + ln (x y - 5))

\frac{y}{x y - 5}

Schritte zur Lösung

\frac{\partial}{\partial x} (9 + ln (x y - 5))

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (9) + \frac{\partial}{\partial x} (ln (x y - 5))

\frac{\partial}{\partial x} (9) = 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}

\int \frac{8 x ^{2} + 3 x - 6}{( x ^{2} - 4 ) ( x + 2 )} d x

t an g e n t \frac{2}{x} - 3 e^{x} + 3 e^{4}

d er i v a t i v e 75 (1 - \frac{5}{x})

n = 1 \sum \infty (\frac{2}{5})^{n - 1}

t \to \infty lim (t^{4})