de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 2x{z}(x)

Lösung

\frac{d}{d x} (2 x z (x))

Lösung

2 (z (x) + x \frac{d}{d x} (z (x)))

Schritte zur Lösung

\frac{d}{d x} (2 x z (x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (x z (x))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = z (x)

= 2 (\frac{d x}{d x} z (x) + \frac{d}{d x} (z (x)) x)

\frac{d x}{d x} = 1

= 2 (1 \cdot z (x) + \frac{d}{d x} (z (x)) x)

Vereinfache

= 2 (z (x) + x \frac{d}{d x} (z (x)))

Beliebte Beispiele

limit as x approaches 1 of-6+4x^2

x \to 1 lim (- 6 + 4 x^{2})

fläche 2x-5y=0,y=0,x=5

a re a 2 x - 5 y = 0, y = 0, x = 5

integral of sqrt(4+25x^2)

\int 4 + 25 x^{2} d x

d/(d{x)}(sin(3{x}+{y}{z}))

\frac{d}{d x} (sin (3 x + y z))

derivative of x^{0.7}

\frac{d}{d x} (x^{0.7})