de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative x^2(120-x)

Lösung

ableitung von

x^{2} (120 - x)

Lösung

240 x - 3 x^{2}

Schritte zur Lösung

\frac{d}{d x} (x^{2} (120 - x))

Wende die Produktregel an:

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

f = x^{2}, g = 120 - x

= \frac{d}{d x} (x^{2}) (120 - x) + \frac{d}{d x} (120 - x) x^{2}

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

\frac{d}{d x} (120 - x) = - 1

= 2 x (120 - x) + (- 1) x^{2}

Vereinfache

2 x (120 - x) + (- 1) x^{2} : 240 x - 3 x^{2}

= 240 x - 3 x^{2}

Graph

Beliebte Beispiele

integral of 10sec^2(5x)tan(5x)

\int 10 sec^{2} (5 x) tan (5 x) d x

limit as x approaches pi/2 of xcos(x)

x \to \frac{π}{2} lim (x cos (x))

integral of (x-3)^2e^{-x}

\int (x - 3)^{2} e^{- x} d x

integral of e^{8x}

\int e^{8 x} d x

(dQ)/(dt)=14.5-(7Q)/(800-2t)

\frac{d Q}{d t} = 14.5 - \frac{7 Q}{800 - 2 t}