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+xz+yz)

Lösung

\frac{\partial}{\partial x} (x y + x z + yz)

Lösung

y + z

Schritte zur Lösung

\frac{\partial}{\partial x} (x y + x z + yz)

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x y) + \frac{\partial}{\partial x} (x z) + \frac{\partial}{\partial x} (yz)

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

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

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

= y + z + 0

Vereinfache

= y + z

Beliebte Beispiele

derivative of 4(ln(x+1))

\frac{d}{d x} (4 (ln (x) + 1))

integral of (7sin(x)+4sec(x))/(tan(x))

\int \frac{7 sin ( x ) + 4 sec ( x )}{tan ( x )} d x

integral of 2/(1+e^x)

\int \frac{2}{1 + e ^{x}} d x

integral from-1 to 3 of 2y-(y^2-3)

\int_{- 1}^{3} 2 y - (y^{2} - 3) d y

derivative of tan(x*sec(x))

\frac{d}{d x} (tan (x) \cdot sec (x))