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)(x^2+y^2+3z)

Lösung

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

Lösung

2 x

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{\partial}{\partial x} (3 z) = 0

= 2 x + 0 + 0

Vereinfache

= 2 x

Beliebte Beispiele

integral of (2x)cos(x)

\int (2 x) cos (x) d x

derivative \sqrt[5]{7x}

d er i v a t i v e 5 7 x

taylor tan(x),0,1,2,3, pi/4

t a y l or tan (x), 0, 1, 2, 3, \frac{π}{4}

fläche y=7x,y=6x^2

a re a y = 7 x, y = 6 x^{2}

fläche x=0,y=2,y=sqrt(x)

a re a x = 0, y = 2, y = x