de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative f(x)=(2x+1)(3x-2)

Lösung

ableitung von

f (x) = (2 x + 1) (3 x - 2)

Lösung

12 x - 1

Schritte zur Lösung

\frac{d}{d x} ((2 x + 1) (3 x - 2))

Wende die Produktregel an:

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

f = 2 x + 1, g = 3 x - 2

= \frac{d}{d x} (2 x + 1) (3 x - 2) + \frac{d}{d x} (3 x - 2) (2 x + 1)

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

\frac{d}{d x} (3 x - 2) = 3

= 2 (3 x - 2) + 3 (2 x + 1)

Vereinfache

2 (3 x - 2) + 3 (2 x + 1) : 12 x - 1

= 12 x - 1

Graph

Beliebte Beispiele

integral from 3 to e^4 of 1/x

\int_{3}^{e^{4}} \frac{1}{x} d x

fläche y=ln(x),y=0,x=e

a re a y = ln (x), y = 0, x = e

integral of cos(2)(x)

\int cos (2) (x) d x

integral of (8+u)

\int (8 + u) d u

\frac{d y}{d x} + 4 y = 7