de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative y=(3x^2+2)(4x-1)

Lösung

ableitung von

y = (3 x^{2} + 2) (4 x - 1)

Lösung

36 x^{2} - 6 x + 8

Schritte zur Lösung

\frac{d}{d x} ((3 x^{2} + 2) (4 x - 1))

Wende die Produktregel an:

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

f = 3 x^{2} + 2, g = 4 x - 1

= \frac{d}{d x} (3 x^{2} + 2) (4 x - 1) + \frac{d}{d x} (4 x - 1) (3 x^{2} + 2)

\frac{d}{d x} (3 x^{2} + 2) = 6 x

\frac{d}{d x} (4 x - 1) = 4

= 6 x (4 x - 1) + 4 (3 x^{2} + 2)

Vereinfache

6 x (4 x - 1) + 4 (3 x^{2} + 2) : 36 x^{2} - 6 x + 8

= 36 x^{2} - 6 x + 8

Graph

Beliebte Beispiele

derivative of (e^x/(x^2))

\frac{d}{d x} (\frac{e ^{x}}{x ^{2}})

y^{^{''}} + 4 y = e - t

integral of 8/(\sqrt[3]{x^2)}

\int \frac{8}{3 x ^{2}} d x

y^{''}-2y^'=6e^{2x}

y^{^{''}} - 2 y^{^{'}} = 6 e^{2 x}

integral of (9x^2+6x+9)/(x^3-1)

\int \frac{9 x ^{2} + 6 x + 9}{x ^{3} - 1} d x