de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial y)(1+xln(xy-5))

Lösung

\frac{\partial}{\partial y} (1 + x ln (x y - 5))

Lösung

\frac{x ^{2}}{x y - 5}

Schritte zur Lösung

\frac{\partial}{\partial y} (1 + x ln (x y - 5))

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (1) + \frac{\partial}{\partial y} (x ln (x y - 5))

\frac{\partial}{\partial y} (1) = 0

\frac{\partial}{\partial y} (x ln (x y - 5)) = \frac{x ^{2}}{x y - 5}

= 0 + \frac{x ^{2}}{x y - 5}

Vereinfache

= \frac{x ^{2}}{x y - 5}

Beliebte Beispiele

derivative of 7sin(2x)

\frac{d}{d x} (7 sin (2 x))

derivative of (2x+3^5)

\frac{d}{d x} ((2 x + 3)^{5})

steigung y=3x^2-2x-2enx=1

s l o p e y = 3 x^{2} - 2 x - 2 e n x = 1

integral from 0 to pi of sin(t)e^{-st}

\int_{0}^{π} sin (t) e^{- s t} d t

derivative of sec(x-5x^4)

\frac{d}{d x} (sec (x) - 5 x^{4})