de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

- 12 x^{2} + 18 x - 6

Schritte zur Lösung

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

Vereinfache

(1 - x)^{3} - 3 x (1 - x)^{2} : - 4 x^{3} + 9 x^{2} - 6 x + 1

= \frac{d}{d x} (- 4 x^{3} + 9 x^{2} - 6 x + 1)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (9 x^{2}) - \frac{d}{d x} (6 x) + \frac{d}{d x} (1)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (9 x^{2}) = 18 x

\frac{d}{d x} (6 x) = 6

\frac{d}{d x} (1) = 0

= - 12 x^{2} + 18 x - 6 + 0

Vereinfache

= - 12 x^{2} + 18 x - 6

Graph

Beliebte Beispiele

(dy)/(dx)=(x-1)/(3x^2-6x-1)

\frac{d y}{d x} = \frac{x - 1}{3 x ^{2} - 6 x - 1}

integral of (ln(x))2

\int (ln (x)) 2 d x

derivative (ln(x))/(ln(2))

d er i v a t i v e \frac{ln ( x )}{ln ( 2 )}

integral of x/(sqrt(9+x^4))

\int \frac{x}{9 + x ^{4}} d x

taylor (1+0.5x)/(1-0.5x)

t a y l or \frac{1 + 0.5 x}{1 - 0.5 x}