de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of (x+1^3(x-2))

Lösung

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

Lösung

3 (x + 1)^{2} (x - 2) + (x + 1)^{3}

Schritte zur Lösung

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

Wende die Produktregel an:

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

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

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

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

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

= 3 (x + 1)^{2} (x - 2) + 1 \cdot (x + 1)^{3}

Vereinfache

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

Graph

Beliebte Beispiele

derivative of 9x+5

\frac{d}{d x} (9 x + 5)

integral of sec(32x)tan(32x)

\int sec (32 x) tan (32 x) d x

derivative 1/(x+2)

d er i v a t i v e \frac{1}{x + 2}

integral of (7t^3+t^2)/(sqrt(t))

\int \frac{7 t ^{3} + t ^{2}}{t} d t

derivative 2^{8-x^2}

d er i v a t i v e 2^{8 - x^{2}}