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)(xy+3x-2y)

Lösung

\frac{\partial}{\partial x} (x y + 3 x - 2 y)

Lösung

y + 3

Schritte zur Lösung

\frac{\partial}{\partial x} (x y + 3 x - 2 y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x y) + \frac{\partial}{\partial x} (3 x) - \frac{\partial}{\partial x} (2 y)

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

\frac{\partial}{\partial x} (3 x) = 3

\frac{\partial}{\partial x} (2 y) = 0

= y + 3 - 0

Vereinfache

= y + 3

Beliebte Beispiele

integral of (3x^2)/(9424)

\int \frac{3 x ^{2}}{9424} d x

derivative of 9/(sqrt(x+8))

\frac{d}{d x} (\frac{9}{x + 8})

tangent f(x)=sqrt(2x^3+7x),\at x=1

t an g e n t f (x) = 2 x^{3} + 7 x, at x = 1

derivative of-19e^x

\frac{d}{d x} (- 19 e^{x})

integral of arcsin(2x)

\int arcsin (2 x) d x