de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial x)(y/(2x)-1)

Lösung

\frac{\partial}{\partial x} (\frac{y}{2 x} - 1)

Lösung

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

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{y}{2 x} - 1)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (\frac{y}{2 x}) - \frac{\partial}{\partial x} (1)

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

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

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

Vereinfache

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

Beliebte Beispiele

(\partial)/(\partial x)(2pisqrt(x/y))

\frac{\partial}{\partial x} (2 π \frac{x}{y})

2 y d x = 3 x d y

sum from n=1 to infinity of 1/(2+3^n)

n = 1 \sum \infty \frac{1}{2 + 3 ^{n}}

ty^'+(2t^2+1)y=3t

t y^{^{'}} + (2 t^{2} + 1) y = 3 t

a re a x, - 1, 2