de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(x^3(8-3x))^'

Lösung

(x^{3} (8 - 3 x))^{^{'}}

Lösung

24 x^{2} - 12 x^{3}

Schritte zur Lösung

(x^{3} (8 - 3 x))^{'}

Wende die Produktregel an:

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

f = x^{3}, g = 8 - 3 x

= (x^{3})^{^{'}} (8 - 3 x) + (8 - 3 x)^{^{'}} x^{3}

(x^{3})^{'} = 3 x^{2}

(8 - 3 x)^{'} = - 3

= 3 x^{2} (8 - 3 x) + (- 3) x^{3}

Vereinfache

3 x^{2} (8 - 3 x) + (- 3) x^{3} : 24 x^{2} - 12 x^{3}

= 24 x^{2} - 12 x^{3}

Graph

Beliebte Beispiele

integral of (ln(sqrt(x)))

\int (ln (x)) d x

integral of (3e^x)/(1-e^x)

\int \frac{3 e ^{x}}{1 - e ^{x}} d x

fläche x=y(y-3),x=-y(y-3)

a re a x = y (y - 3), x = - y (y - 3)

integral of-20t^{2/3}-70

\int - 20 t^{\frac{2}{3}} - 70 d t

inverselaplace 3/(8(s+1))

in v erse l a pl a ce \frac{3}{8 ( s + 1 )}